3656626364160 has 2592 divisors, whose sum is σ = 17642785934592. Its totient is φ = 714565877760.

The previous prime is 3656626364119. The next prime is 3656626364161. The reversal of 3656626364160 is 614636266563.

It is a happy number.

3656626364160 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 626 + 3 + 6 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3656626364097 and 3656626364106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656626364161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2850058879 + ... + 2850060161.

It is an arithmetic number, because the mean of its divisors is an integer number (6806630376).

Almost surely, 2^{3656626364160} is an apocalyptic number.

3656626364160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656626364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821392967296).

3656626364160 is an abundant number, since it is smaller than the sum of its proper divisors (13986159570432).

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

3656626364160 is a wasteful number, since it uses less digits than its factorization.

3656626364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3656626364160 in words is "three trillion, six hundred fifty-six billion, six hundred twenty-six million, three hundred sixty-four thousand, one hundred sixty".