3399799699200 has 648 divisors, whose sum is σ = 11949900907392. Its totient is φ = 851064586240.

The previous prime is 3399799699193. The next prime is 3399799699327. The reversal of 3399799699200 is 29969979933.

3399799699200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3590073127 + ... + 3590074073.

It is an arithmetic number, because the mean of its divisors is an integer number (18441205104).

Almost surely, 2^{3399799699200} is an apocalyptic number.

3399799699200 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 3399799699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974950453696).

3399799699200 is an abundant number, since it is smaller than the sum of its proper divisors (8550101208192).

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

3399799699200 is a wasteful number, since it uses less digits than its factorization.

3399799699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 401769396, while the sum is 75.

The spelling of 3399799699200 in words is "three trillion, three hundred ninety-nine billion, seven hundred ninety-nine million, six hundred ninety-nine thousand, two hundred".