3413648880 has 80 divisors (see below), whose sum is σ = 11758131360. Its totient is φ = 910305792.

The previous prime is 3413648879. The next prime is 3413648911. The reversal of 3413648880 is 888463143.

3413648880 is a `hidden beast` number, since 34 + 136 + 488 + 8 + 0 = 666.

3413648880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 788037 + ... + 792356.

It is an arithmetic number, because the mean of its divisors is an integer number (146976642).

Almost surely, 2^3413648880 is an apocalyptic number.

3413648880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413648880 is an abundant number, since it is smaller than the sum of its proper divisors (8344482480).

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

3413648880 is a wasteful number, since it uses less digits than its factorization.

3413648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580415 (or 1580403 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3413648880 is about 58426.4399052347. The cubic root of 3413648880 is about 1505.7040417772.

The spelling of 3413648880 in words is "three billion, four hundred thirteen million, six hundred forty-eight thousand, eight hundred eighty".