3383925120 has 256 divisors, whose sum is σ = 12097771200. Its totient is φ = 893878272.

The previous prime is 3383925101. The next prime is 3383925131. The reversal of 3383925120 is 215293833.

3383925120 is a `hidden beast` number, since 3 + 383 + 9 + 251 + 20 = 666.

It is a super-2 number, since 2×3383925120² = 22901898435534028800, 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 31 ways as a sum of consecutive naturals, for example, 1951774 + ... + 1953506.

Almost surely, 2^3383925120 is an apocalyptic number.

3383925120 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 3383925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048885600).

3383925120 is an abundant number, since it is smaller than the sum of its proper divisors (8713846080).

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

3383925120 is a wasteful number, since it uses less digits than its factorization.

3383925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1856 counting only the distinct ones).

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

The square root of 3383925120 is about 58171.5146785779. The cubic root of 3383925120 is about 1501.3210761636.

The spelling of 3383925120 in words is "three billion, three hundred eighty-three million, nine hundred twenty-five thousand, one hundred twenty".