3328419120 has 160 divisors (see below), whose sum is σ = 11765621952. Its totient is φ = 771096576.

The previous prime is 3328419119. The next prime is 3328419139. The reversal of 3328419120 is 219148233.

It is a super-2 number, since 2×3328419120² = 22156747676763148800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21664 + ... + 84416.

Almost surely, 2^3328419120 is an apocalyptic number.

3328419120 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 3328419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882810976).

3328419120 is an abundant number, since it is smaller than the sum of its proper divisors (8437202832).

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

3328419120 is a wasteful number, since it uses less digits than its factorization.

3328419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62799 (or 62793 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3328419120 is about 57692.4528859711. The cubic root of 3328419120 is about 1493.0671351792.

The spelling of 3328419120 in words is "three billion, three hundred twenty-eight million, four hundred nineteen thousand, one hundred twenty".