3413353680 has 120 divisors (see below), whose sum is σ = 12505315680. Its totient is φ = 827477760.

The previous prime is 3413353649. The next prime is 3413353733. The reversal of 3413353680 is 863533143.

3413353680 is a `hidden beast` number, since 3 + 41 + 3 + 3 + 536 + 80 = 666.

3413353680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207570 + ... + 223409.

It is an arithmetic number, because the mean of its divisors is an integer number (104210964).

Almost surely, 2^3413353680 is an apocalyptic number.

3413353680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413353680 is an abundant number, since it is smaller than the sum of its proper divisors (9091962000).

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

3413353680 is a wasteful number, since it uses less digits than its factorization.

3413353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431009 (or 431000 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3413353680 is about 58423.9135970880. The cubic root of 3413353680 is about 1505.6606379141.

The spelling of 3413353680 in words is "three billion, four hundred thirteen million, three hundred fifty-three thousand, six hundred eighty".