3656616000 has 224 divisors, whose sum is σ = 12166152960. Its totient is φ = 967680000.

The previous prime is 3656615999. The next prime is 3656616011. The reversal of 3656616000 is 6166563.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3623496 + ... + 3624504.

Almost surely, 2^3656616000 is an apocalyptic number.

3656616000 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 3656616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083076480).

3656616000 is an abundant number, since it is smaller than the sum of its proper divisors (8509536960).

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

3656616000 is a wasteful number, since it uses less digits than its factorization.

3656616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3656616000 is about 60469.9594840281. The cubic root of 3656616000 is about 1540.6114398921.

The spelling of 3656616000 in words is "three billion, six hundred fifty-six million, six hundred sixteen thousand".