3398837979800 has 96 divisors (see below), whose sum is σ = 7925769146880. Its totient is φ = 1355499801600.

The previous prime is 3398837979767. The next prime is 3398837979809. The reversal of 3398837979800 is 89797388933.

3398837979800 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 2×3398837979800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398837979809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276749660 + ... + 276761940.

It is an arithmetic number, because the mean of its divisors is an integer number (82560095280).

Almost surely, 2^{3398837979800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3398837979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962884573440).

3398837979800 is an abundant number, since it is smaller than the sum of its proper divisors (4526931167080).

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

3398837979800 is a wasteful number, since it uses less digits than its factorization.

3398837979800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 74.

The spelling of 3398837979800 in words is "three trillion, three hundred ninety-eight billion, eight hundred thirty-seven million, nine hundred seventy-nine thousand, eight hundred".