3345991200 has 576 divisors, whose sum is σ = 13199155200. Its totient is φ = 814924800.

The previous prime is 3345991199. The next prime is 3345991211. The reversal of 3345991200 is 21995433.

It is a happy number.

3345991200 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 2×3345991200² = 22391314220954880000, 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 95 ways as a sum of consecutive naturals, for example, 12722269 + ... + 12722531.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 2^3345991200 is an apocalyptic number.

3345991200 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 3345991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3345991200 is an abundant number, since it is smaller than the sum of its proper divisors (9853164000).

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

3345991200 is a wasteful number, since it uses less digits than its factorization.

3345991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3345991200 is about 57844.5433900208. The cubic root of 3345991200 is about 1495.6900279549.

The spelling of 3345991200 in words is "three billion, three hundred forty-five million, nine hundred ninety-one thousand, two hundred".