3399001200 has 720 divisors, whose sum is σ = 14711756800. Its totient is φ = 709171200.

The previous prime is 3399001163. The next prime is 3399001213. The reversal of 3399001200 is 21009933.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14842686 + ... + 14842914.

Almost surely, 2^3399001200 is an apocalyptic number.

3399001200 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 3399001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355878400).

3399001200 is an abundant number, since it is smaller than the sum of its proper divisors (11312755600).

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

3399001200 is a wasteful number, since it uses less digits than its factorization.

3399001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3399001200 is about 58300.9536800214. The cubic root of 3399001200 is about 1503.5473376506.

The spelling of 3399001200 in words is "three billion, three hundred ninety-nine million, one thousand, two hundred".