3725464624992 has 288 divisors, whose sum is σ = 12012276931200. Its totient is φ = 1126402744320.

The previous prime is 3725464624957. The next prime is 3725464625011. The reversal of 3725464624992 is 2994264645273.

3725464624992 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 46 + 462 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 38357163 + ... + 38454165.

It is an arithmetic number, because the mean of its divisors is an integer number (41709294900).

Almost surely, 2^{3725464624992} is an apocalyptic number.

3725464624992 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 3725464624992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006138465600).

3725464624992 is an abundant number, since it is smaller than the sum of its proper divisors (8286812306208).

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

3725464624992 is a wasteful number, since it uses less digits than its factorization.

3725464624992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97488 (or 97468 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 3725464624992 in words is "three trillion, seven hundred twenty-five billion, four hundred sixty-four million, six hundred twenty-four thousand, nine hundred ninety-two".