3872525064624 has 240 divisors, whose sum is σ = 11395363150080. Its totient is φ = 1225960619520.

The previous prime is 3872525064613. The next prime is 3872525064631. The reversal of 3872525064624 is 4264605252783.

3872525064624 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 5 + 2 + 5 + 0 + 6 + 4 + 624 = 666.

It is a super-2 number, since 2×3872525064624² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131332987 + ... + 131362469.

It is an arithmetic number, because the mean of its divisors is an integer number (47480679792).

Almost surely, 2^{3872525064624} 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 3872525064624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697681575040).

3872525064624 is an abundant number, since it is smaller than the sum of its proper divisors (7522838085456).

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

3872525064624 is a wasteful number, since it uses less digits than its factorization.

3872525064624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30040 (or 30031 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3872525064624 in words is "three trillion, eight hundred seventy-two billion, five hundred twenty-five million, sixty-four thousand, six hundred twenty-four".