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3726065664 = 214338423
BaseRepresentation
bin1101111000010111…
…0100000000000000
3100121200020202012000
43132011310000000
530112333100124
61413422304000
7161223015126
oct33605640000
910550222160
103726065664
1116422a3312
1287ba28000
13474c4bba9
14274c07916
1516c1b46c9
hexde174000

3726065664 has 120 divisors (see below), whose sum is σ = 11041168320. Its totient is φ = 1241874432.

The previous prime is 3726065663. The next prime is 3726065689. The reversal of 3726065664 is 4665606273.

3726065664 is a `hidden beast` number, since 37 + 2 + 606 + 5 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726065663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438157 + ... + 446579.

It is an arithmetic number, because the mean of its divisors is an integer number (92009736).

Almost surely, 23726065664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520584160).

3726065664 is an abundant number, since it is smaller than the sum of its proper divisors (7315102656).

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

3726065664 is an frugal number, since it uses more digits than its factorization.

3726065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3726065664 is about 61041.5077140137. The cubic root of 3726065664 is about 1550.3038827012.

The spelling of 3726065664 in words is "three billion, seven hundred twenty-six million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 8423 9216 12288 13824 16384 16846 18432 24576 25269 27648 33692 36864 49152 50538 55296 67384 73728 75807 101076 110592 134768 147456 151614 202152 221184 227421 269536 303228 404304 442368 454842 539072 606456 808608 909684 1078144 1212912 1617216 1819368 2156288 2425824 3234432 3638736 4312576 4851648 6468864 7277472 8625152 9703296 12937728 14554944 17250304 19406592 25875456 29109888 34500608 38813184 51750912 58219776 69001216 77626368 103501824 116439552 138002432 155252736 207003648 232879104 310505472 414007296 465758208 621010944 931516416 1242021888 1863032832 3726065664