34085952 has 126 divisors (see below), whose sum is σ = 105231438. Its totient is φ = 10512384.

The previous prime is 34085929. The next prime is 34085983. The reversal of 34085952 is 25958043.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 2005056 = 5664^2 + 1416^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 577699 + ... + 577757.

Almost surely, 2^34085952 is an apocalyptic number.

34085952 is a gapful number since it is divisible by the number (32) 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 34085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52615719).

34085952 is an abundant number, since it is smaller than the sum of its proper divisors (71145486).

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

34085952 is a wasteful number, since it uses less digits than its factorization.

34085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 34085952 is about 5838.3175658746. The cubic root of 34085952 is about 324.2339416974.

The spelling of 34085952 in words is "thirty-four million, eighty-five thousand, nine hundred fifty-two".