3125382624 has 384 divisors, whose sum is σ = 11343790080. Its totient is φ = 815173632.

The previous prime is 3125382607. The next prime is 3125382647. The reversal of 3125382624 is 4262835213.

3125382624 is a `hidden beast` number, since 3 + 1 + 25 + 3 + 8 + 2 + 624 = 666.

It is a super-2 number, since 2×3125382624² = 19536033092802250752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 9985092 + ... + 9985404.

It is an arithmetic number, because the mean of its divisors is an integer number (29541120).

Almost surely, 2^3125382624 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 3125382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671895040).

3125382624 is an abundant number, since it is smaller than the sum of its proper divisors (8218407456).

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

3125382624 is a wasteful number, since it uses less digits than its factorization.

3125382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3125382624 is about 55905.1216258403. The cubic root of 3125382624 is about 1462.0685359707.

The spelling of 3125382624 in words is "three billion, one hundred twenty-five million, three hundred eighty-two thousand, six hundred twenty-four".