3125024000 has 216 divisors, whose sum is σ = 9060361128. Its totient is φ = 1070899200.

The previous prime is 3125023991. The next prime is 3125024003. The reversal of 3125024000 is 4205213.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 3098480896 = 5152^2 + 55664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3125024000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125024003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567004 + ... + 1568996.

Almost surely, 2^3125024000 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 3125024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530180564).

3125024000 is an abundant number, since it is smaller than the sum of its proper divisors (5935337128).

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

3125024000 is an equidigital number, since it uses as much as digits as its factorization.

3125024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3125024000 is about 55901.9140996084. The cubic root of 3125024000 is about 1462.0126118396.

Adding to 3125024000 its reverse (4205213), we get a palindrome (3129229213).

The spelling of 3125024000 in words is "three billion, one hundred twenty-five million, twenty-four thousand".