3125008000 has 128 divisors (see below), whose sum is σ = 8227299600. Its totient is φ = 1176371200.

The previous prime is 3125007997. The next prime is 3125008039. The reversal of 3125008000 is 8005213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 101767744 + 3023240256 = 10088^2 + 54984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266256 + ... + 277744.

Almost surely, 2^3125008000 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 3125008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113649800).

3125008000 is an abundant number, since it is smaller than the sum of its proper divisors (5102291600).

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

3125008000 is a wasteful number, since it uses less digits than its factorization.

3125008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 3125008000 is about 55901.7709916242. The cubic root of 3125008000 is about 1462.0101166863.

It can be divided in two parts, 312500 and 8000, that multiplied together give a square (2500000000 = 50000²).

The spelling of 3125008000 in words is "three billion, one hundred twenty-five million, eight thousand".