3161581708320 has 1728 divisors, whose sum is σ = 13767376896000. Its totient is φ = 656214773760.

The previous prime is 3161581708273. The next prime is 3161581708333. The reversal of 3161581708320 is 238071851613.

It is a happy number.

3161581708320 is a `hidden beast` number, since 3 + 1 + 6 + 158 + 170 + 8 + 320 = 666.

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 287 ways as a sum of consecutive naturals, for example, 5278099381 + ... + 5278099979.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232000).

Almost surely, 2^{3161581708320} is an apocalyptic number.

3161581708320 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 3161581708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883688448000).

3161581708320 is an abundant number, since it is smaller than the sum of its proper divisors (10605795187680).

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

3161581708320 is a wasteful number, since it uses less digits than its factorization.

3161581708320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3161581708320 in words is "three trillion, one hundred sixty-one billion, five hundred eighty-one million, seven hundred eight thousand, three hundred twenty".