3321421920 has 576 divisors, whose sum is σ = 13041362880. Its totient is φ = 764411904.

The previous prime is 3321421919. The next prime is 3321421951. The reversal of 3321421920 is 291241233.

It is a happy number.

3321421920 is a `hidden beast` number, since 332 + 142 + 192 + 0 = 666.

It is a super-2 number, since 2×3321421920² = 22063687141312972800, which contains 22 as substring.

It is a congruent number.

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, 17209344 + ... + 17209536.

It is an arithmetic number, because the mean of its divisors is an integer number (22641255).

Almost surely, 2^3321421920 is an apocalyptic number.

3321421920 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 3321421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520681440).

3321421920 is an abundant number, since it is smaller than the sum of its proper divisors (9719940960).

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

3321421920 is a wasteful number, since it uses less digits than its factorization.

3321421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3321421920 is about 57631.7787336119. The cubic root of 3321421920 is about 1492.0201297277.

The spelling of 3321421920 in words is "three billion, three hundred twenty-one million, four hundred twenty-one thousand, nine hundred twenty".