3130747200 has 1260 divisors, whose sum is σ = 14662884060. Its totient is φ = 650280960.

The previous prime is 3130747181. The next prime is 3130747219. The reversal of 3130747200 is 27470313.

It is an interprime number because it is at equal distance from previous prime (3130747181) and next prime (3130747219).

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 3129731136 = 1008^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 107956786 + ... + 107956814.

Almost surely, 2^3130747200 is an apocalyptic number.

3130747200 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 3130747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331442030).

3130747200 is an abundant number, since it is smaller than the sum of its proper divisors (11532136860).

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

3130747200 is a wasteful number, since it uses less digits than its factorization.

3130747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3130747200 is about 55953.0803441598. The cubic root of 3130747200 is about 1462.9045823471.

The spelling of 3130747200 in words is "three billion, one hundred thirty million, seven hundred forty-seven thousand, two hundred".