3398097696000 has 576 divisors, whose sum is σ = 12911237015040. Its totient is φ = 775982284800.

The previous prime is 3398097695921. The next prime is 3398097696029. The reversal of 3398097696000 is 6967908933.

It is a happy number.

3398097696000 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100062456 + ... + 1100065544.

It is an arithmetic number, because the mean of its divisors is an integer number (22415342040).

Almost surely, 2^{3398097696000} is an apocalyptic number.

3398097696000 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 3398097696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455618507520).

3398097696000 is an abundant number, since it is smaller than the sum of its proper divisors (9513139319040).

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

3398097696000 is a wasteful number, since it uses less digits than its factorization.

3398097696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 3398097696000 in words is "three trillion, three hundred ninety-eight billion, ninety-seven million, six hundred ninety-six thousand".