3656438016 has 432 divisors, whose sum is σ = 12622010688. Its totient is φ = 936714240.

The previous prime is 3656437987. The next prime is 3656438021. The reversal of 3656438016 is 6108346563.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 50088156 + ... + 50088228.

Almost surely, 2^3656438016 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 3656438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311005344).

3656438016 is an abundant number, since it is smaller than the sum of its proper divisors (8965572672).

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

3656438016 is an equidigital number, since it uses as much as digits as its factorization.

3656438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3656438016 is about 60468.4877932300. The cubic root of 3656438016 is about 1540.5864433164.

The spelling of 3656438016 in words is "three billion, six hundred fifty-six million, four hundred thirty-eight thousand, sixteen".