3125291400 has 288 divisors, whose sum is σ = 13086216000. Its totient is φ = 649382400.

The previous prime is 3125291383. The next prime is 3125291431. The reversal of 3125291400 is 41925213.

3125291400 is a `hidden beast` number, since 3 + 1 + 252 + 9 + 1 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127326 + ... + 149874.

It is an arithmetic number, because the mean of its divisors is an integer number (45438250).

Almost surely, 2^3125291400 is an apocalyptic number.

3125291400 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 3125291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543108000).

3125291400 is an abundant number, since it is smaller than the sum of its proper divisors (9960924600).

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

3125291400 is a wasteful number, since it uses less digits than its factorization.

3125291400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22589 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3125291400 is about 55904.3057375727. The cubic root of 3125291400 is about 1462.0543108284.

The spelling of 3125291400 in words is "three billion, one hundred twenty-five million, two hundred ninety-one thousand, four hundred".