3116460400 has 90 divisors (see below), whose sum is σ = 7953927920. Its totient is φ = 1173212160.

The previous prime is 3116460377. The next prime is 3116460449. The reversal of 3116460400 is 40646113.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102121 + ... + 129079.

Almost surely, 2^3116460400 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 3116460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976963960).

3116460400 is an abundant number, since it is smaller than the sum of its proper divisors (4837467520).

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

3116460400 is a wasteful number, since it uses less digits than its factorization.

3116460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27011 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3116460400 is about 55825.2666809573. The cubic root of 3116460400 is about 1460.6759239674.

The spelling of 3116460400 in words is "three billion, one hundred sixteen million, four hundred sixty thousand, four hundred".