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3749830856704 = 2127923832
BaseRepresentation
bin110110100100010011010…
…101100001000000000000
3111021110222011022110211101
4312210103111201000000
5442414123144403304
611550352025024144
7534626206243162
oct66442325410000
914243864273741
103749830856704
111216326840579
125068aa925054
132127b899746a
14cd6c829c932
156781d3ce8a4
hex36913561000

3749830856704 has 117 divisors (see below), whose sum is σ = 7614750314703. Its totient is φ = 1846348947456.

The previous prime is 3749830856689. The next prime is 3749830856711. The reversal of 3749830856704 is 4076580389473.

The square root of 3749830856704 is 1936448.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×37498308567042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9790680897 + ... + 9790681279.

Almost surely, 23749830856704 is an apocalyptic number.

3749830856704 is the 1936448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749830856704

3749830856704 is an abundant number, since it is smaller than the sum of its proper divisors (3864919457999).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3749830856704 is an frugal number, since it uses more digits than its factorization.

3749830856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

Multiplying 3749830856704 by its sum of digits (64), we get a square (239989174829056 = 154915842).

3749830856704 divided by its sum of digits (64) gives a square (58591107136 = 2420562).

The spelling of 3749830856704 in words is "three trillion, seven hundred forty-nine billion, eight hundred thirty million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 383 512 632 766 1024 1264 1532 2048 2528 3064 4096 5056 6128 6241 10112 12256 12482 20224 24512 24964 30257 40448 49024 49928 60514 80896 98048 99856 121028 146689 161792 196096 199712 242056 293378 323584 392192 399424 484112 586756 784384 798848 968224 1173512 1568768 1597696 1936448 2347024 2390303 3195392 3872896 4694048 4780606 6390784 7745792 9388096 9561212 11588431 12781568 15491584 18776192 19122424 23176862 25563136 30983168 37552384 38244848 46353724 61966336 75104768 76489696 92707448 123932672 150209536 152979392 185414896 300419072 305958784 370829792 600838144 611917568 741659584 915486049 1223835136 1483319168 1830972098 2447670272 2966638336 3661944196 4895340544 5933276672 7323888392 9790681088 11866553344 14647776784 23733106688 29295553568 47466213376 58591107136 117182214272 234364428544 468728857088 937457714176 1874915428352 3749830856704