3160491600 has 240 divisors, whose sum is σ = 11624256000. Its totient is φ = 719040000.

The previous prime is 3160491599. The next prime is 3160491611. The reversal of 3160491600 is 61940613.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107651 + ... + 2109149.

It is an arithmetic number, because the mean of its divisors is an integer number (48434400).

Almost surely, 2^3160491600 is an apocalyptic number.

3160491600 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 3160491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128000).

3160491600 is an abundant number, since it is smaller than the sum of its proper divisors (8463764400).

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

3160491600 is a wasteful number, since it uses less digits than its factorization.

3160491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3160491600 is about 56218.2497059451. The cubic root of 3160491600 is about 1467.5228770158.

The spelling of 3160491600 in words is "three billion, one hundred sixty million, four hundred ninety-one thousand, six hundred".