3199996800 has 1536 divisors, whose sum is σ = 16148966400. Its totient is φ = 597196800.

The previous prime is 3199996799. The next prime is 3199996843. The reversal of 3199996800 is 86999913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86486382 + ... + 86486418.

It is an arithmetic number, because the mean of its divisors is an integer number (10513650).

Almost surely, 2^3199996800 is an apocalyptic number.

3199996800 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 3199996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074483200).

3199996800 is an abundant number, since it is smaller than the sum of its proper divisors (12948969600).

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

3199996800 is a wasteful number, since it uses less digits than its factorization.

3199996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 3199996800 is about 56568.5142106455. The cubic root of 3199996800 is about 1473.6121082518.

It can be divided in two parts, 3199 and 996800, that added together give a palindrome (999999).

The spelling of 3199996800 in words is "three billion, one hundred ninety-nine million, nine hundred ninety-six thousand, eight hundred".