3160190400 has 336 divisors, whose sum is σ = 10826057088. Its totient is φ = 806400000.

The previous prime is 3160190399. The next prime is 3160190441. The reversal of 3160190400 is 40910613.

3160190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12590275 + ... + 12590525.

It is an arithmetic number, because the mean of its divisors is an integer number (32220408).

Almost surely, 2^3160190400 is an apocalyptic number.

3160190400 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 3160190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413028544).

3160190400 is an abundant number, since it is smaller than the sum of its proper divisors (7665866688).

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

3160190400 is a wasteful number, since it uses less digits than its factorization.

3160190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3160190400 is about 56215.5707967108. The cubic root of 3160190400 is about 1467.4762564275.

The spelling of 3160190400 in words is "three billion, one hundred sixty million, one hundred ninety thousand, four hundred".