3388390274240 has 112 divisors (see below), whose sum is σ = 8291116260000. Its totient is φ = 1318018056192.

The previous prime is 3388390274221. The next prime is 3388390274267. The reversal of 3388390274240 is 424720938833.

It is a super-2 number, since 2×3388390274240² (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 15 ways as a sum of consecutive naturals, for example, 22290011 + ... + 22441509.

It is an arithmetic number, because the mean of its divisors is an integer number (74027823750).

Almost surely, 2^{3388390274240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388390274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145558130000).

3388390274240 is an abundant number, since it is smaller than the sum of its proper divisors (4902725985760).

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

3388390274240 is a wasteful number, since it uses less digits than its factorization.

3388390274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153442 (or 153432 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 3388390274240 in words is "three trillion, three hundred eighty-eight billion, three hundred ninety million, two hundred seventy-four thousand, two hundred forty".