3133072800 has 864 divisors, whose sum is σ = 13819740480. Its totient is φ = 656179200.

The previous prime is 3133072799. The next prime is 3133072829. The reversal of 3133072800 is 82703313.

It is a super-2 number, since 2×3133072800² = 19632290340199680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17503111 + ... + 17503289.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^3133072800 is an apocalyptic number.

3133072800 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 3133072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909870240).

3133072800 is an abundant number, since it is smaller than the sum of its proper divisors (10686667680).

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

3133072800 is a wasteful number, since it uses less digits than its factorization.

3133072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3133072800 is about 55973.8581839773. The cubic root of 3133072800 is about 1463.2667204811.

The spelling of 3133072800 in words is "three billion, one hundred thirty-three million, seventy-two thousand, eight hundred".