3116282400 has 972 divisors, whose sum is σ = 14243076666. Its totient is φ = 638668800.

The previous prime is 3116282353. The next prime is 3116282441. The reversal of 3116282400 is 42826113.

3116282400 is a `hidden beast` number, since 3 + 11 + 628 + 24 + 0 + 0 = 666.

3116282400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2398256784 + 718025616 = 48972^2 + 26796^2 .

It is a super-2 number, since 2×3116282400² = 19422431993099520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 42688764 + ... + 42688836.

Almost surely, 2^3116282400 is an apocalyptic number.

3116282400 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 3116282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121538333).

3116282400 is an abundant number, since it is smaller than the sum of its proper divisors (11126794266).

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

3116282400 is a wasteful number, since it uses less digits than its factorization.

3116282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3116282400 is about 55823.6723980069. The cubic root of 3116282400 is about 1460.6481140772.

It can be divided in two parts, 311628 and 2400, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 3116282400 in words is "three billion, one hundred sixteen million, two hundred eighty-two thousand, four hundred".