3161104624800 has 432 divisors, whose sum is σ = 11425918303800. Its totient is φ = 821882880000.

The previous prime is 3161104624709. The next prime is 3161104624801. The reversal of 3161104624800 is 84264011613.

3161104624800 is a `hidden beast` number, since 3 + 1 + 6 + 110 + 4 + 62 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7908900624 + 3153195724176 = 88932^2 + 1775724^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3161104624801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752462700 + ... + 752466900.

Almost surely, 2^{3161104624800} is an apocalyptic number.

3161104624800 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 3161104624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712959151900).

3161104624800 is an abundant number, since it is smaller than the sum of its proper divisors (8264813679000).

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

3161104624800 is a wasteful number, since it uses less digits than its factorization.

3161104624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3161104624800 in words is "three trillion, one hundred sixty-one billion, one hundred four million, six hundred twenty-four thousand, eight hundred".