3125540378952 has 256 divisors, whose sum is σ = 9688796160000. Its totient is φ = 929356727040.

The previous prime is 3125540378941. The next prime is 3125540379007. The reversal of 3125540378952 is 2598730455213.

3125540378952 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 540 + 3 + 7 + 8 + 95 + 2 = 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 63 ways as a sum of consecutive naturals, for example, 4375299 + ... + 5039277.

It is an arithmetic number, because the mean of its divisors is an integer number (37846860000).

Almost surely, 2^{3125540378952} 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 3125540378952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844398080000).

3125540378952 is an abundant number, since it is smaller than the sum of its proper divisors (6563255781048).

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

3125540378952 is a wasteful number, since it uses less digits than its factorization.

3125540378952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664081 (or 664071 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3125540378952 in words is "three trillion, one hundred twenty-five billion, five hundred forty million, three hundred seventy-eight thousand, nine hundred fifty-two".