3112948800 has 672 divisors, whose sum is σ = 12805013760. Its totient is φ = 729907200.

The previous prime is 3112948757. The next prime is 3112948807. The reversal of 3112948800 is 88492113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3112948807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12916680 + ... + 12916920.

It is an arithmetic number, because the mean of its divisors is an integer number (19055080).

Almost surely, 2^3112948800 is an apocalyptic number.

3112948800 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 3112948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402506880).

3112948800 is an abundant number, since it is smaller than the sum of its proper divisors (9692064960).

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

3112948800 is a wasteful number, since it uses less digits than its factorization.

3112948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3112948800 is about 55793.8061078468. The cubic root of 3112948800 is about 1460.1270922078.

The spelling of 3112948800 in words is "three billion, one hundred twelve million, nine hundred forty-eight thousand, eight hundred".