3472125525792 has 480 divisors, whose sum is σ = 12990982435200. Its totient is φ = 901848245760.

The previous prime is 3472125525767. The next prime is 3472125525839. The reversal of 3472125525792 is 2975255212743.

3472125525792 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 1 + 25 + 525 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9602098 + ... + 9957134.

It is an arithmetic number, because the mean of its divisors is an integer number (27064546740).

Almost surely, 2^{3472125525792} is an apocalyptic number.

3472125525792 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 3472125525792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495491217600).

3472125525792 is an abundant number, since it is smaller than the sum of its proper divisors (9518856909408).

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

3472125525792 is a wasteful number, since it uses less digits than its factorization.

3472125525792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355091 (or 355060 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 3472125525792 in words is "three trillion, four hundred seventy-two billion, one hundred twenty-five million, five hundred twenty-five thousand, seven hundred ninety-two".