3922524861120 has 448 divisors, whose sum is σ = 14127425136000. Its totient is φ = 1024193544192.

The previous prime is 3922524861097. The next prime is 3922524861131. The reversal of 3922524861120 is 211684252293.

3922524861120 is a `hidden beast` number, since 3 + 9 + 2 + 2 + 5 + 2 + 4 + 8 + 611 + 20 = 666.

It is a super-2 number, since 2×3922524861120² (a number of 26 digits) contains 22 as substring.

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

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, 233072866 + ... + 233089694.

Almost surely, 2^{3922524861120} is an apocalyptic number.

3922524861120 is a gapful number since it is divisible by the number (30) 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 3922524861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063712568000).

3922524861120 is an abundant number, since it is smaller than the sum of its proper divisors (10204900274880).

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

3922524861120 is a wasteful number, since it uses less digits than its factorization.

3922524861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17417 (or 17401 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3922524861120 in words is "three trillion, nine hundred twenty-two billion, five hundred twenty-four million, eight hundred sixty-one thousand, one hundred twenty".