3398120208000 has 4096 divisors, whose sum is σ = 16497561600000. Its totient is φ = 682795008000.

The previous prime is 3398120207959. The next prime is 3398120208001. The reversal of 3398120208000 is 8020218933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398120208001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 47860847965 + ... + 47860848035.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725000).

Almost surely, 2^{3398120208000} is an apocalyptic number.

3398120208000 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 3398120208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248780800000).

3398120208000 is an abundant number, since it is smaller than the sum of its proper divisors (13099441392000).

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

3398120208000 is a wasteful number, since it uses less digits than its factorization.

3398120208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3398120208000 in words is "three trillion, three hundred ninety-eight billion, one hundred twenty million, two hundred eight thousand".