3380413840 has 40 divisors (see below), whose sum is σ = 7885120320. Its totient is φ = 1347751296.

The previous prime is 3380413789. The next prime is 3380413889. The reversal of 3380413840 is 483140833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3380413840³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3380413796 and 3380413805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44260 + ... + 93379.

It is an arithmetic number, because the mean of its divisors is an integer number (197128008).

Almost surely, 2^3380413840 is an apocalyptic number.

It is an amenable number.

3380413840 is an abundant number, since it is smaller than the sum of its proper divisors (4504706480).

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

3380413840 is a wasteful number, since it uses less digits than its factorization.

3380413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137959 (or 137953 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 3380413840 is about 58141.3264382573. The cubic root of 3380413840 is about 1500.8016218956.

The spelling of 3380413840 in words is "three billion, three hundred eighty million, four hundred thirteen thousand, eight hundred forty".