34306776 has 96 divisors (see below), whose sum is σ = 108725760. Its totient is φ = 9567936.

The previous prime is 34306763. The next prime is 34306781. The reversal of 34306776 is 67760343.

34306776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 34306776.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20881 + ... + 22463.

It is an arithmetic number, because the mean of its divisors is an integer number (1132560).

Almost surely, 2^34306776 is an apocalyptic number.

34306776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34306776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

34306776 is an abundant number, since it is smaller than the sum of its proper divisors (74418984).

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

34306776 is a wasteful number, since it uses less digits than its factorization.

34306776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 34306776 is about 5857.1986478179. The cubic root of 34306776 is about 324.9326124584.

The spelling of 34306776 in words is "thirty-four million, three hundred six thousand, seven hundred seventy-six".