3182052096 has 216 divisors, whose sum is σ = 9521810480. Its totient is φ = 1021206528.

The previous prime is 3182052053. The next prime is 3182052103. The reversal of 3182052096 is 6902502813.

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 3182052096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13895310 + ... + 13895538.

Almost surely, 2^3182052096 is an apocalyptic number.

3182052096 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 3182052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760905240).

3182052096 is an abundant number, since it is smaller than the sum of its proper divisors (6339758384).

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

3182052096 is a wasteful number, since it uses less digits than its factorization.

3182052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3182052096 is about 56409.6808712831. The cubic root of 3182052096 is about 1470.8524058022.

The spelling of 3182052096 in words is "three billion, one hundred eighty-two million, fifty-two thousand, ninety-six".