34252764 has 72 divisors (see below), whose sum is σ = 100145808. Its totient is φ = 9031680.

The previous prime is 34252759. The next prime is 34252769. The reversal of 34252764 is 46725243.

34252764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34252759) and next prime (34252769).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34252769) 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 23 ways as a sum of consecutive naturals, for example, 5404 + ... + 9884.

It is an arithmetic number, because the mean of its divisors is an integer number (1390914).

Almost surely, 2^34252764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34252764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50072904).

34252764 is an abundant number, since it is smaller than the sum of its proper divisors (65893044).

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

34252764 is a wasteful number, since it uses less digits than its factorization.

34252764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4506 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 34252764 is about 5852.5860950523. The cubic root of 34252764 is about 324.7620001125.

The spelling of 34252764 in words is "thirty-four million, two hundred fifty-two thousand, seven hundred sixty-four".