3125205200 has 120 divisors (see below), whose sum is σ = 8561748888. Its totient is φ = 1086013440.

The previous prime is 3125205199. The next prime is 3125205203. The reversal of 3125205200 is 25025213.

It can be written as a sum of positive squares in 12 ways, for example, as 130051216 + 2995153984 = 11404^2 + 54728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125205203) 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, 70724 + ... + 106076.

Almost surely, 2^3125205200 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 3125205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280874444).

3125205200 is an abundant number, since it is smaller than the sum of its proper divisors (5436543688).

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

3125205200 is a wasteful number, since it uses less digits than its factorization.

3125205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35401 (or 35390 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3125205200 is about 55903.5347719623. The cubic root of 3125205200 is about 1462.0408688562.

The spelling of 3125205200 in words is "three billion, one hundred twenty-five million, two hundred five thousand, two hundred".