3628077374592 has 1024 divisors, whose sum is σ = 12694544640000. Its totient is φ = 1008366796800.

The previous prime is 3628077374549. The next prime is 3628077374609. The reversal of 3628077374592 is 2954737708263.

3628077374592 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 0 + 7 + 7 + 37 + 4 + 592 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2952055834 + ... + 2952057062.

It is an arithmetic number, because the mean of its divisors is an integer number (12397016250).

Almost surely, 2^{3628077374592} is an apocalyptic number.

3628077374592 is a gapful number since it is divisible by the number (32) 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 3628077374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347272320000).

3628077374592 is an abundant number, since it is smaller than the sum of its proper divisors (9066467265408).

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

3628077374592 is a wasteful number, since it uses less digits than its factorization.

3628077374592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 3628077374592 in words is "three trillion, six hundred twenty-eight billion, seventy-seven million, three hundred seventy-four thousand, five hundred ninety-two".