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3879794944 = 281722292
BaseRepresentation
bin1110011101000000…
…1111100100000000
3101000101112000010001
43213100033210000
530421211414234
61440553245344
7165100466344
oct34720174400
911011460101
103879794944
111711052403
12903403854
1349aa5536c
1428b3c3624
1517a92dd14
hexe740f900

3879794944 has 81 divisors (see below), whose sum is σ = 8262868467. Its totient is φ = 1817812992.

The previous prime is 3879794939. The next prime is 3879794969. The reversal of 3879794944 is 4494979783.

The square root of 3879794944 is 62288.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2057529600 + 1822265344 = 45360^2 + 42688^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16942222 + ... + 16942450.

Almost surely, 23879794944 is an apocalyptic number.

3879794944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3879794944 is the 62288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3879794944

3879794944 is an abundant number, since it is smaller than the sum of its proper divisors (4383073523).

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

3879794944 is an frugal number, since it uses more digits than its factorization.

3879794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 248 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 64.

The cubic root of 3879794944 is about 1571.3379191279.

Multiplying 3879794944 by its sum of digits (64), we get a square (248306876416 = 4983042).

3879794944 divided by its sum of digits (64) gives a square (60621796 = 77862).

The spelling of 3879794944 in words is "three billion, eight hundred seventy-nine million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 229 256 272 289 458 544 578 916 1088 1156 1832 2176 2312 3664 3893 4352 4624 7328 7786 9248 14656 15572 18496 29312 31144 36992 52441 58624 62288 66181 73984 104882 124576 132362 209764 249152 264724 419528 498304 529448 839056 891497 996608 1058896 1678112 1782994 2117792 3356224 3565988 4235584 6712448 7131976 8471168 13424896 14263952 15155449 16942336 28527904 30310898 57055808 60621796 114111616 121243592 228223232 242487184 484974368 969948736 1939897472 3879794944