3130675200 has 468 divisors, whose sum is σ = 11619424960. Its totient is φ = 805109760.

The previous prime is 3130675183. The next prime is 3130675211. The reversal of 3130675200 is 25760313.

It is a happy number.

3130675200 is a `hidden beast` number, since 3 + 130 + 6 + 7 + 520 + 0 = 666.

It is a super-2 number, since 2×3130675200² = 19602254415790080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39628761 + ... + 39628839.

Almost surely, 2^3130675200 is an apocalyptic number.

3130675200 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 3130675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809712480).

3130675200 is an abundant number, since it is smaller than the sum of its proper divisors (8488749760).

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

3130675200 is a wasteful number, since it uses less digits than its factorization.

3130675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3130675200 is about 55952.4369442476. The cubic root of 3130675200 is about 1462.8933677785.

The spelling of 3130675200 in words is "three billion, one hundred thirty million, six hundred seventy-five thousand, two hundred".