3680413572528 has 720 divisors, whose sum is σ = 13193189867520. Its totient is φ = 947058739200.

The previous prime is 3680413572509. The next prime is 3680413572533. The reversal of 3680413572528 is 8252753140863.

3680413572528 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 4 + 13 + 572 + 52 + 8 = 666.

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, 6063284001 + ... + 6063284607.

It is an arithmetic number, because the mean of its divisors is an integer number (18323874816).

Almost surely, 2^{3680413572528} 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 3680413572528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596594933760).

3680413572528 is an abundant number, since it is smaller than the sum of its proper divisors (9512776294992).

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

3680413572528 is a wasteful number, since it uses less digits than its factorization.

3680413572528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3680413572528 in words is "three trillion, six hundred eighty billion, four hundred thirteen million, five hundred seventy-two thousand, five hundred twenty-eight".