3658879704816 has 720 divisors, whose sum is σ = 12392642799264. Its totient is φ = 1004293914624.

The previous prime is 3658879704803. The next prime is 3658879704833. The reversal of 3658879704816 is 6184079788563.

3658879704816 is a `hidden beast` number, since 3 + 6 + 5 + 8 + 8 + 79 + 70 + 481 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3347556366 + ... + 3347557458.

Almost surely, 2^{3658879704816} is an apocalyptic number.

3658879704816 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 3658879704816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196321399632).

3658879704816 is an abundant number, since it is smaller than the sum of its proper divisors (8733763094448).

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

3658879704816 is a wasteful number, since it uses less digits than its factorization.

3658879704816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 3658879704816 in words is "three trillion, six hundred fifty-eight billion, eight hundred seventy-nine million, seven hundred four thousand, eight hundred sixteen".