3289876992 has 160 divisors (see below), whose sum is σ = 10311840000. Its totient is φ = 1032044544.

The previous prime is 3289876987. The next prime is 3289877021. The reversal of 3289876992 is 2996789823.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228009 + ... + 242007.

It is an arithmetic number, because the mean of its divisors is an integer number (64449000).

Almost surely, 2^3289876992 is an apocalyptic number.

3289876992 is a gapful number since it is divisible by the number (32) 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 3289876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920000).

3289876992 is an abundant number, since it is smaller than the sum of its proper divisors (7021963008).

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

3289876992 is a wasteful number, since it uses less digits than its factorization.

3289876992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14021 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 3289876992 is about 57357.4493156730. The cubic root of 3289876992 is about 1487.2816511836.

The spelling of 3289876992 in words is "three billion, two hundred eighty-nine million, eight hundred seventy-six thousand, nine hundred ninety-two".