3357390816 has 192 divisors, whose sum is σ = 10594160640. Its totient is φ = 1028298240.

The previous prime is 3357390787. The next prime is 3357390847. The reversal of 3357390816 is 6180937533.

3357390816 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 2×3357390816² = 22544146182722291712, 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 31 ways as a sum of consecutive naturals, for example, 3043321 + ... + 3044423.

It is an arithmetic number, because the mean of its divisors is an integer number (55177920).

Almost surely, 2^3357390816 is an apocalyptic number.

3357390816 is a gapful number since it is divisible by the number (36) 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 3357390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297080320).

3357390816 is an abundant number, since it is smaller than the sum of its proper divisors (7236769824).

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

3357390816 is a wasteful number, since it uses less digits than its factorization.

3357390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3357390816 is about 57942.9962635692. The cubic root of 3357390816 is about 1497.3866816890.

The spelling of 3357390816 in words is "three billion, three hundred fifty-seven million, three hundred ninety thousand, eight hundred sixteen".