3192164496 has 60 divisors (see below), whose sum is σ = 8965532940. Its totient is φ = 1060254720.

The previous prime is 3192164467. The next prime is 3192164501. The reversal of 3192164496 is 6944612913.

3192164496 is a `hidden beast` number, since 3 + 192 + 16 + 449 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 775065600 + 2417098896 = 27840^2 + 49164^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020 + ... + 79908.

It is an arithmetic number, because the mean of its divisors is an integer number (149425549).

Almost surely, 2^3192164496 is an apocalyptic number.

3192164496 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 3192164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482766470).

3192164496 is an abundant number, since it is smaller than the sum of its proper divisors (5773368444).

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

3192164496 is a wasteful number, since it uses less digits than its factorization.

3192164496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79184 (or 79175 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3192164496 is about 56499.2433223667. The cubic root of 3192164496 is about 1472.4088562801.

The spelling of 3192164496 in words is "three billion, one hundred ninety-two million, one hundred sixty-four thousand, four hundred ninety-six".