34520385393 has 48 divisors (see below), whose sum is σ = 57051605520. Its totient is φ = 19956367872.

The previous prime is 34520385373. The next prime is 34520385397. The reversal of 34520385393 is 39358302543.

34520385393 is a `hidden beast` number, since 3 + 4 + 520 + 38 + 5 + 3 + 93 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4389327504 + 30131057889 = 66252^2 + 173583^2 .

It is not a de Polignac number, because 34520385393 - 2¹⁰ = 34520384369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34520385397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11946 + ... + 263027.

It is an arithmetic number, because the mean of its divisors is an integer number (1188575115).

Almost surely, 2^34520385393 is an apocalyptic number.

It is an amenable number.

34520385393 is a deficient number, since it is larger than the sum of its proper divisors (22531220127).

34520385393 is a wasteful number, since it uses less digits than its factorization.

34520385393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275058 (or 275055 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 34520385393 in words is "thirty-four billion, five hundred twenty million, three hundred eighty-five thousand, three hundred ninety-three".