3679702528896 has 512 divisors, whose sum is σ = 11317985280000. Its totient is φ = 1176176941056.

The previous prime is 3679702528883. The next prime is 3679702528933. The reversal of 3679702528896 is 6988252079763.

3679702528896 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 7 + 0 + 2 + 528 + 8 + 96 = 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 63 ways as a sum of consecutive naturals, for example, 1783664761 + ... + 1783666823.

It is an arithmetic number, because the mean of its divisors is an integer number (22105440000).

Almost surely, 2^{3679702528896} is an apocalyptic number.

3679702528896 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 3679702528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658992640000).

3679702528896 is an abundant number, since it is smaller than the sum of its proper divisors (7638282751104).

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

3679702528896 is a wasteful number, since it uses less digits than its factorization.

3679702528896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 3679702528896 in words is "three trillion, six hundred seventy-nine billion, seven hundred two million, five hundred twenty-eight thousand, eight hundred ninety-six".