3363069920 has 288 divisors, whose sum is σ = 9866344320. Its totient is φ = 1077027840.

The previous prime is 3363069893. The next prime is 3363069943. The reversal of 3363069920 is 299603633.

3363069920 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 2×3363069920² = 22620478573617612800, 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 47 ways as a sum of consecutive naturals, for example, 15938615 + ... + 15938825.

It is an arithmetic number, because the mean of its divisors is an integer number (34258140).

Almost surely, 2^3363069920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933172160).

3363069920 is an abundant number, since it is smaller than the sum of its proper divisors (6503274400).

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

3363069920 is a wasteful number, since it uses less digits than its factorization.

3363069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 41.

The square root of 3363069920 is about 57991.9815146887. The cubic root of 3363069920 is about 1498.2304941275.

The spelling of 3363069920 in words is "three billion, three hundred sixty-three million, sixty-nine thousand, nine hundred twenty".