3133625700 has 144 divisors (see below), whose sum is σ = 9519390720. Its totient is φ = 794832000.

The previous prime is 3133625687. The next prime is 3133625701. The reversal of 3133625700 is 75263313.

It is a super-2 number, since 2×3133625700² = 19639220055400980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3133625701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545845 + ... + 551555.

It is an arithmetic number, because the mean of its divisors is an integer number (66106880).

Almost surely, 2^3133625700 is an apocalyptic number.

3133625700 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 3133625700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759695360).

3133625700 is an abundant number, since it is smaller than the sum of its proper divisors (6385765020).

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

3133625700 is a wasteful number, since it uses less digits than its factorization.

3133625700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3133625700 is about 55978.7968788183. The cubic root of 3133625700 is about 1463.3527906786.

The spelling of 3133625700 in words is "three billion, one hundred thirty-three million, six hundred twenty-five thousand, seven hundred".