3326880480 has 576 divisors, whose sum is σ = 13513651200. Its totient is φ = 687160320.

The previous prime is 3326880457. The next prime is 3326880497. The reversal of 3326880480 is 840886233.

It is a super-2 number, since 2×3326880480² = 22136267456410060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19921357 + ... + 19921523.

It is an arithmetic number, because the mean of its divisors is an integer number (23461200).

Almost surely, 2^3326880480 is an apocalyptic number.

3326880480 is a gapful number since it is divisible by the number (30) 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 3326880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756825600).

3326880480 is an abundant number, since it is smaller than the sum of its proper divisors (10186770720).

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

3326880480 is a wasteful number, since it uses less digits than its factorization.

3326880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3326880480 is about 57679.1164980879. The cubic root of 3326880480 is about 1492.8370312552.

The spelling of 3326880480 in words is "three billion, three hundred twenty-six million, eight hundred eighty thousand, four hundred eighty".