34834956 has 72 divisors (see below), whose sum is σ = 89465040. Its totient is φ = 10543104.

The previous prime is 34834937. The next prime is 34834963. The reversal of 34834956 is 65943843.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180396 + ... + 180588.

It is an arithmetic number, because the mean of its divisors is an integer number (1242570).

Almost surely, 2^34834956 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 34834956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44732520).

34834956 is an abundant number, since it is smaller than the sum of its proper divisors (54630084).

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

34834956 is a wasteful number, since it uses less digits than its factorization.

34834956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 34834956 is about 5902.1145363336. The cubic root of 34834956 is about 326.5916589318.

The spelling of 34834956 in words is "thirty-four million, eight hundred thirty-four thousand, nine hundred fifty-six".