34503264 has 72 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 11251968.

The previous prime is 34503241. The next prime is 34503269. The reversal of 34503264 is 46230543.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34503269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12262 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^34503264 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 34503264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

34503264 is an abundant number, since it is smaller than the sum of its proper divisors (65742336).

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

34503264 is a wasteful number, since it uses less digits than its factorization.

34503264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34503264 is about 5873.9479057956. The cubic root of 34503264 is about 325.5517696049.

The spelling of 34503264 in words is "thirty-four million, five hundred three thousand, two hundred sixty-four".