3288789504 has 960 divisors, whose sum is σ = 13727121408. Its totient is φ = 729907200.

The previous prime is 3288789487. The next prime is 3288789533. The reversal of 3288789504 is 4059878823.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×3288789504² = 21632272803241132032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106089969 + ... + 106089999.

Almost surely, 2^3288789504 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 3288789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863560704).

3288789504 is an abundant number, since it is smaller than the sum of its proper divisors (10438331904).

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

3288789504 is a wasteful number, since it uses less digits than its factorization.

3288789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 3288789504 is about 57347.9686126719. The cubic root of 3288789504 is about 1487.1177565863.

The spelling of 3288789504 in words is "three billion, two hundred eighty-eight million, seven hundred eighty-nine thousand, five hundred four".