3161980800 has 480 divisors, whose sum is σ = 12740646600. Its totient is φ = 765849600.

The previous prime is 3161980799. The next prime is 3161980813. The reversal of 3161980800 is 80891613.

3161980800 is a `hidden beast` number, since 31 + 619 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2850646 + ... + 2851754.

Almost surely, 2^3161980800 is an apocalyptic number.

3161980800 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 3161980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370323300).

3161980800 is an abundant number, since it is smaller than the sum of its proper divisors (9578665800).

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

3161980800 is a wasteful number, since it uses less digits than its factorization.

3161980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3161980800 is about 56231.4929554605. The cubic root of 3161980800 is about 1467.7533360900.

The spelling of 3161980800 in words is "three billion, one hundred sixty-one million, nine hundred eighty thousand, eight hundred".