3343057920 has 264 divisors, whose sum is σ = 12017101824. Its totient is φ = 891150336.

The previous prime is 3343057903. The next prime is 3343057943. The reversal of 3343057920 is 297503433.

3343057920 is a `hidden beast` number, since 3 + 34 + 30 + 579 + 20 = 666.

It is a super-2 number, since 2×3343057920² = 22352072512949452800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242817 + ... + 1245503.

Almost surely, 2^3343057920 is an apocalyptic number.

3343057920 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 3343057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

3343057920 is an abundant number, since it is smaller than the sum of its proper divisors (8674043904).

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

3343057920 is an equidigital number, since it uses as much as digits as its factorization.

3343057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3343057920 is about 57819.1829758948. The cubic root of 3343057920 is about 1495.2528321136.

It can be divided in two parts, 334305 and 7920, that added together give a square (342225 = 585²).

The spelling of 3343057920 in words is "three billion, three hundred forty-three million, fifty-seven thousand, nine hundred twenty".