3905025024960 has 224 divisors, whose sum is σ = 13909811834880. Its totient is φ = 1031229674496.

The previous prime is 3905025024931. The next prime is 3905025024973. The reversal of 3905025024960 is 694205205093.

3905025024960 is a `hidden beast` number, since 3 + 9 + 0 + 50 + 2 + 502 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304112 + ... + 3083951.

Almost surely, 2^{3905025024960} is an apocalyptic number.

3905025024960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3905025024960 is an abundant number, since it is smaller than the sum of its proper divisors (10004786809920).

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

3905025024960 is a wasteful number, since it uses less digits than its factorization.

3905025024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388192 (or 4388176 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3905025024960 in words is "three trillion, nine hundred five billion, twenty-five million, twenty-four thousand, nine hundred sixty".