3199513968 has 480 divisors, whose sum is σ = 11810672640. Its totient is φ = 786309120.

The previous prime is 3199513957. The next prime is 3199513973. The reversal of 3199513968 is 8693159913.

3199513968 is a `hidden beast` number, since 31 + 9 + 9 + 513 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (1574640) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10092946 + ... + 10093262.

It is an arithmetic number, because the mean of its divisors is an integer number (24605568).

Almost surely, 2^3199513968 is an apocalyptic number.

3199513968 is a gapful number since it is divisible by the number (38) 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 3199513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905336320).

3199513968 is an abundant number, since it is smaller than the sum of its proper divisors (8611158672).

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

3199513968 is a wasteful number, since it uses less digits than its factorization.

3199513968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The square root of 3199513968 is about 56564.2463752502. The cubic root of 3199513968 is about 1473.5379891287.

The spelling of 3199513968 in words is "three billion, one hundred ninety-nine million, five hundred thirteen thousand, nine hundred sixty-eight".