3292992144 has 360 divisors, whose sum is σ = 10933744640. Its totient is φ = 952342272.

The previous prime is 3292992139. The next prime is 3292992167. The reversal of 3292992144 is 4412992923.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3292992144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25929009 + ... + 25929135.

Almost surely, 2^3292992144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3292992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466872320).

3292992144 is an abundant number, since it is smaller than the sum of its proper divisors (7640752496).

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

3292992144 is a wasteful number, since it uses less digits than its factorization.

3292992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

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

The square root of 3292992144 is about 57384.5984912328. The cubic root of 3292992144 is about 1487.7509338592.

The spelling of 3292992144 in words is "three billion, two hundred ninety-two million, nine hundred ninety-two thousand, one hundred forty-four".