3413257353 has 32 divisors (see below), whose sum is σ = 5544192000. Its totient is φ = 2058210000.

The previous prime is 3413257301. The next prime is 3413257357. The reversal of 3413257353 is 3537523143.

3413257353 is a `hidden beast` number, since 3 + 4 + 1 + 32 + 573 + 53 = 666.

It is not a de Polignac number, because 3413257353 - 2⁸ = 3413257097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3413257357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30228 + ... + 87978.

It is an arithmetic number, because the mean of its divisors is an integer number (173256000).

Almost surely, 2^3413257353 is an apocalyptic number.

3413257353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3413257353 is a deficient number, since it is larger than the sum of its proper divisors (2130934647).

3413257353 is a wasteful number, since it uses less digits than its factorization.

3413257353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57970 (or 57964 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 3413257353 is about 58423.0892113726. The cubic root of 3413257353 is about 1505.6464742156.

The spelling of 3413257353 in words is "three billion, four hundred thirteen million, two hundred fifty-seven thousand, three hundred fifty-three".