3388900787976 has 256 divisors, whose sum is σ = 9548281036800. Its totient is φ = 993458592000.

The previous prime is 3388900787929. The next prime is 3388900787981. The reversal of 3388900787976 is 6797870098833.

It is a super-2 number, since 2×3388900787976² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3388900787898 and 3388900787907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615377815 + ... + 615383321.

It is an arithmetic number, because the mean of its divisors is an integer number (37297972800).

Almost surely, 2^{3388900787976} 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 3388900787976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774140518400).

3388900787976 is an abundant number, since it is smaller than the sum of its proper divisors (6159380248824).

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

3388900787976 is a wasteful number, since it uses less digits than its factorization.

3388900787976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 75.

The spelling of 3388900787976 in words is "three trillion, three hundred eighty-eight billion, nine hundred million, seven hundred eighty-seven thousand, nine hundred seventy-six".