34135776 has 48 divisors (see below), whose sum is σ = 99565200. Its totient is φ = 11378304.

The previous prime is 34135769. The next prime is 34135817. The reversal of 34135776 is 67753143.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34135776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18891 + ... + 20618.

It is an arithmetic number, because the mean of its divisors is an integer number (2074275).

Almost surely, 2^34135776 is an apocalyptic number.

34135776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34135776 is an abundant number, since it is smaller than the sum of its proper divisors (65429424).

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

34135776 is a wasteful number, since it uses less digits than its factorization.

34135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39528 (or 39514 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 34135776 is about 5842.5829904247. The cubic root of 34135776 is about 324.3918441585.

The spelling of 34135776 in words is "thirty-four million, one hundred thirty-five thousand, seven hundred seventy-six".