3160640000 has 400 divisors, whose sum is σ = 9664256448. Its totient is φ = 1007616000.

The previous prime is 3160639969. The next prime is 3160640003. The reversal of 3160640000 is 460613.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3160640003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38079959 + ... + 38080041.

Almost surely, 2^3160640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3160640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832128224).

3160640000 is an abundant number, since it is smaller than the sum of its proper divisors (6503616448).

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

3160640000 is an frugal number, since it uses more digits than its factorization.

3160640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3160640000 is about 56219.5695465556. The cubic root of 3160640000 is about 1467.5458456985.

The spelling of 3160640000 in words is "three billion, one hundred sixty million, six hundred forty thousand".