34835264 has 42 divisors (see below), whose sum is σ = 72035670. Its totient is φ = 16694272.

The previous prime is 34835263. The next prime is 34835267. The reversal of 34835264 is 46253843.

It can be written as a sum of positive squares in 3 ways, for example, as 7795264 + 27040000 = 2792^2 + 5200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34835263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254204 + ... + 254340.

It is an arithmetic number, because the mean of its divisors is an integer number (1715135).

Almost surely, 2^34835264 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 34835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36017835).

34835264 is an abundant number, since it is smaller than the sum of its proper divisors (37200406).

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

34835264 is an equidigital number, since it uses as much as digits as its factorization.

34835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 168 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 34835264 is about 5902.1406286194. The cubic root of 34835264 is about 326.5926214701.

The spelling of 34835264 in words is "thirty-four million, eight hundred thirty-five thousand, two hundred sixty-four".