3386581872 has 40 divisors (see below), whose sum is σ = 8753237376. Its totient is φ = 1128271296.

The previous prime is 3386581867. The next prime is 3386581879. The reversal of 3386581872 is 2781856833.

3386581872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386581872² = 22937873551518048768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386581879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79893 + ... + 114699.

Almost surely, 2^3386581872 is an apocalyptic number.

It is an amenable number.

3386581872 is an abundant number, since it is smaller than the sum of its proper divisors (5366655504).

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

3386581872 is a wasteful number, since it uses less digits than its factorization.

3386581872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36845 (or 36839 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 3386581872 is about 58194.3457047160. The cubic root of 3386581872 is about 1501.7138739006.

The spelling of 3386581872 in words is "three billion, three hundred eighty-six million, five hundred eighty-one thousand, eight hundred seventy-two".