3398513280000 has 880 divisors, whose sum is σ = 12124593888000. Its totient is φ = 843485184000.

The previous prime is 3398513279983. The next prime is 3398513280013. The reversal of 3398513280000 is 823158933.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2152319211 + ... + 2152320789.

It is an arithmetic number, because the mean of its divisors is an integer number (13777947600).

Almost surely, 2^{3398513280000} is an apocalyptic number.

3398513280000 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 3398513280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062296944000).

3398513280000 is an abundant number, since it is smaller than the sum of its proper divisors (8726080608000).

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

3398513280000 is a wasteful number, since it uses less digits than its factorization.

3398513280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 3398513280000 in words is "three trillion, three hundred ninety-eight billion, five hundred thirteen million, two hundred eighty thousand".