3398027212800 has 864 divisors, whose sum is σ = 13853522067840. Its totient is φ = 787921305600.

The previous prime is 3398027212751. The next prime is 3398027212817. The reversal of 3398027212800 is 82127208933.

3398027212800 is a `hidden beast` number, since 339 + 8 + 0 + 27 + 212 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 116567827 + ... + 116596973.

It is an arithmetic number, because the mean of its divisors is an integer number (16034169060).

Almost surely, 2^{3398027212800} is an apocalyptic number.

3398027212800 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 3398027212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926761033920).

3398027212800 is an abundant number, since it is smaller than the sum of its proper divisors (10455494855040).

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

3398027212800 is a wasteful number, since it uses less digits than its factorization.

3398027212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29219 (or 29191 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3398027212800 in words is "three trillion, three hundred ninety-eight billion, twenty-seven million, two hundred twelve thousand, eight hundred".