3161128800 has 288 divisors, whose sum is σ = 10919301120. Its totient is φ = 792115200.

The previous prime is 3161128799. The next prime is 3161128843. The reversal of 3161128800 is 88211613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8253409 + ... + 8253791.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^3161128800 is an apocalyptic number.

3161128800 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 3161128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

3161128800 is an abundant number, since it is smaller than the sum of its proper divisors (7758172320).

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

3161128800 is a wasteful number, since it uses less digits than its factorization.

3161128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 3161128800 is about 56223.9166191755. The cubic root of 3161128800 is about 1467.6214948743.

The spelling of 3161128800 in words is "three billion, one hundred sixty-one million, one hundred twenty-eight thousand, eight hundred".