34385715 has 96 divisors (see below), whose sum is σ = 76317696. Its totient is φ = 14463360.

The previous prime is 34385707. The next prime is 34385719. The reversal of 34385715 is 51758343.

34385715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34385715 - 2³ = 34385707 is a prime.

It is a super-2 number, since 2×34385715² = 2364754792122450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34385715.

It is not an unprimeable number, because it can be changed into a prime (34385719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110410 + ... + 110720.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 2^34385715 is an apocalyptic number.

34385715 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34385715 is an abundant number, since it is smaller than the sum of its proper divisors (41931981).

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

34385715 is a wasteful number, since it uses less digits than its factorization.

34385715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 34385715 is about 5863.9334068524. The cubic root of 34385715 is about 325.1816420513.

The spelling of 34385715 in words is "thirty-four million, three hundred eighty-five thousand, seven hundred fifteen".