3656489352516 has 1152 divisors, whose sum is σ = 13280061849600. Its totient is φ = 834899788800.

The previous prime is 3656489352497. The next prime is 3656489352533. The reversal of 3656489352516 is 6152539846563.

It is a happy number.

3656489352516 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 4 + 8 + 93 + 525 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3667491330 + ... + 3667492326.

Almost surely, 2^{3656489352516} is an apocalyptic number.

3656489352516 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 3656489352516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640030924800).

3656489352516 is an abundant number, since it is smaller than the sum of its proper divisors (9623572497084).

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

3656489352516 is a wasteful number, since it uses less digits than its factorization.

3656489352516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1131 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 3656489352516 in words is "three trillion, six hundred fifty-six billion, four hundred eighty-nine million, three hundred fifty-two thousand, five hundred sixteen".