3199893120 has 256 divisors, whose sum is σ = 11390544000. Its totient is φ = 848977920.

The previous prime is 3199893091. The next prime is 3199893131. The reversal of 3199893120 is 213989913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855351 + ... + 4856009.

Almost surely, 2^3199893120 is an apocalyptic number.

3199893120 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 3199893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695272000).

3199893120 is an abundant number, since it is smaller than the sum of its proper divisors (8190650880).

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

3199893120 is a wasteful number, since it uses less digits than its factorization.

3199893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 3199893120 is about 56567.5977923758. The cubic root of 3199893120 is about 1473.5961930532.

The spelling of 3199893120 in words is "three billion, one hundred ninety-nine million, eight hundred ninety-three thousand, one hundred twenty".