3352389120 has 480 divisors, whose sum is σ = 12788743968. Its totient is φ = 838729728.

The previous prime is 3352388999. The next prime is 3352389133. The reversal of 3352389120 is 219832533.

3352389120 is a `hidden beast` number, since 3 + 3 + 523 + 8 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3352389120² = 22477025623788748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 10575202 + ... + 10575518.

Almost surely, 2^3352389120 is an apocalyptic number.

3352389120 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 3352389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394371984).

3352389120 is an abundant number, since it is smaller than the sum of its proper divisors (9436354848).

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

3352389120 is an equidigital number, since it uses as much as digits as its factorization.

3352389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3352389120 is about 57899.8196888384. The cubic root of 3352389120 is about 1496.6427314379.

The spelling of 3352389120 in words is "three billion, three hundred fifty-two million, three hundred eighty-nine thousand, one hundred twenty".