3350833920 has 720 divisors, whose sum is σ = 14483293440. Its totient is φ = 725594112.

The previous prime is 3350833907. The next prime is 3350833957. The reversal of 3350833920 is 293380533.

3350833920 is a `hidden beast` number, since 33 + 508 + 33 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3350833920² = 22456175918845132800, 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176359671 + ... + 176359689.

Almost surely, 2^3350833920 is an apocalyptic number.

3350833920 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 3350833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241646720).

3350833920 is an abundant number, since it is smaller than the sum of its proper divisors (11132459520).

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

3350833920 is an frugal number, since it uses more digits than its factorization.

3350833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3350833920 is about 57886.3880372579. The cubic root of 3350833920 is about 1496.4112608147.

The spelling of 3350833920 in words is "three billion, three hundred fifty million, eight hundred thirty-three thousand, nine hundred twenty".