3182115456 has 160 divisors (see below), whose sum is σ = 10198811700. Its totient is φ = 979070976.

The previous prime is 3182115427. The next prime is 3182115467. The reversal of 3182115456 is 6545112813.

3182115456 is a `hidden beast` number, since 31 + 82 + 1 + 1 + 545 + 6 = 666.

3182115456 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 2 ways, for example, as 2724840000 + 457275456 = 52200^2 + 21384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3182115456.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122980 + ... + 146588.

Almost surely, 2^3182115456 is an apocalyptic number.

3182115456 is a gapful number since it is divisible by the number (36) 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 3182115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099405850).

3182115456 is an abundant number, since it is smaller than the sum of its proper divisors (7016696244).

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

3182115456 is a wasteful number, since it uses less digits than its factorization.

3182115456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23648 (or 23627 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 3182115456 is about 56410.2424742174. The cubic root of 3182115456 is about 1470.8621681177.

The spelling of 3182115456 in words is "three billion, one hundred eighty-two million, one hundred fifteen thousand, four hundred fifty-six".