3390883891200 has 864 divisors, whose sum is σ = 13647249645120. Its totient is φ = 798356275200.

The previous prime is 3390883891159. The next prime is 3390883891217. The reversal of 3390883891200 is 21983880933.

It is a happy number.

It is a super-2 number, since 2×3390883891200² (a number of 26 digits) contains 22 as substring.

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, 137766895 + ... + 137791505.

It is an arithmetic number, because the mean of its divisors is an integer number (15795427830).

Almost surely, 2^{3390883891200} is an apocalyptic number.

3390883891200 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 3390883891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823624822560).

3390883891200 is an abundant number, since it is smaller than the sum of its proper divisors (10256365753920).

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

3390883891200 is a wasteful number, since it uses less digits than its factorization.

3390883891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24685 (or 24657 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3390883891200 in words is "three trillion, three hundred ninety billion, eight hundred eighty-three million, eight hundred ninety-one thousand, two hundred".