3656977438464 has 576 divisors, whose sum is σ = 12775344046080. Its totient is φ = 1009765232640.

The previous prime is 3656977438451. The next prime is 3656977438469. The reversal of 3656977438464 is 4648347796563.

3656977438464 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 97 + 74 + 3 + 8 + 464 = 666.

3656977438464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3656977438392 and 3656977438401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656977438469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630394527 + ... + 1630396769.

Almost surely, 2^{3656977438464} 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 3656977438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387672023040).

3656977438464 is an abundant number, since it is smaller than the sum of its proper divisors (9118366607616).

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

3656977438464 is a wasteful number, since it uses less digits than its factorization.

3656977438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3373 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 72.

The spelling of 3656977438464 in words is "three trillion, six hundred fifty-six billion, nine hundred seventy-seven million, four hundred thirty-eight thousand, four hundred sixty-four".