3656606976 has 720 divisors, whose sum is σ = 13462339968. Its totient is φ = 973209600.

The previous prime is 3656606971. The next prime is 3656607023. The reversal of 3656606976 is 6796066563.

3656606976 is a `hidden beast` number, since 3 + 6 + 566 + 0 + 6 + 9 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656606971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89185516 + ... + 89185556.

Almost surely, 2^3656606976 is an apocalyptic number.

3656606976 is a gapful number since it is divisible by the number (36) 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 3656606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731169984).

3656606976 is an abundant number, since it is smaller than the sum of its proper divisors (9805732992).

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

3656606976 is a wasteful number, since it uses less digits than its factorization.

3656606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The square root of 3656606976 is about 60469.8848684202. The cubic root of 3656606976 is about 1540.6101725555.

The spelling of 3656606976 in words is "three billion, six hundred fifty-six million, six hundred six thousand, nine hundred seventy-six".