34935264 has 288 divisors, whose sum is σ = 129153024. Its totient is φ = 8709120.

The previous prime is 34935253. The next prime is 34935283. The reversal of 34935264 is 46253943.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812427 + ... + 812469.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 2^34935264 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 34935264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

34935264 is an abundant number, since it is smaller than the sum of its proper divisors (94217760).

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

34935264 is a wasteful number, since it uses less digits than its factorization.

34935264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 34935264 is about 5910.6060602953. The cubic root of 34935264 is about 326.9048344118.

The spelling of 34935264 in words is "thirty-four million, nine hundred thirty-five thousand, two hundred sixty-four".