3116162400 has 144 divisors (see below), whose sum is σ = 10923457104. Its totient is φ = 767047680.

The previous prime is 3116162389. The next prime is 3116162417. The reversal of 3116162400 is 42616113.

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 23 ways as a sum of consecutive naturals, for example, 18739 + ... + 81138.

It is an arithmetic number, because the mean of its divisors is an integer number (75857341).

Almost surely, 2^3116162400 is an apocalyptic number.

3116162400 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 3116162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461728552).

3116162400 is an abundant number, since it is smaller than the sum of its proper divisors (7807294704).

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

3116162400 is a wasteful number, since it uses less digits than its factorization.

3116162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99913 (or 99900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3116162400 is about 55822.5975748173. The cubic root of 3116162400 is about 1460.6293652390.

Adding to 3116162400 its reverse (42616113), we get a palindrome (3158778513).

The spelling of 3116162400 in words is "three billion, one hundred sixteen million, one hundred sixty-two thousand, four hundred".