3321190080 has 224 divisors, whose sum is σ = 12618110400. Its totient is φ = 817496064.

The previous prime is 3321190073. The next prime is 3321190109. The reversal of 3321190080 is 800911233.

3321190080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321190080² = 22060607094980812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 97536 + ... + 127104.

It is an arithmetic number, because the mean of its divisors is an integer number (56330850).

Almost surely, 2^3321190080 is an apocalyptic number.

3321190080 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 3321190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309055200).

3321190080 is an abundant number, since it is smaller than the sum of its proper divisors (9296920320).

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

3321190080 is a wasteful number, since it uses less digits than its factorization.

3321190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29608 (or 29592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3321190080 is about 57629.7673082236. The cubic root of 3321190080 is about 1491.9854138737.

The spelling of 3321190080 in words is "three billion, three hundred twenty-one million, one hundred ninety thousand, eighty".