3133996800 has 648 divisors, whose sum is σ = 12135473280. Its totient is φ = 709632000.

The previous prime is 3133996787. The next prime is 3133996823. The reversal of 3133996800 is 86993313.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 44140765 + ... + 44140835.

Almost surely, 2^3133996800 is an apocalyptic number.

3133996800 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 3133996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

3133996800 is an abundant number, since it is smaller than the sum of its proper divisors (9001476480).

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

3133996800 is a wasteful number, since it uses less digits than its factorization.

3133996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3133996800 is about 55982.1114285626. Note that the first 3 decimals coincide. The cubic root of 3133996800 is about 1463.4105543084.

The spelling of 3133996800 in words is "three billion, one hundred thirty-three million, nine hundred ninety-six thousand, eight hundred".