34848968 has 96 divisors (see below), whose sum is σ = 84907200. Its totient is φ = 13115520.

The previous prime is 34848901. The next prime is 34849007. The reversal of 34848968 is 86984843.

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, 250643 + ... + 250781.

It is an arithmetic number, because the mean of its divisors is an integer number (884450).

Almost surely, 2^34848968 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 34848968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42453600).

34848968 is an abundant number, since it is smaller than the sum of its proper divisors (50058232).

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

34848968 is a wasteful number, since it uses less digits than its factorization.

34848968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 34848968 is about 5903.3014491893. The cubic root of 34848968 is about 326.6354424318.

It can be divided in two parts, 34848 and 968, that multiplied together give a square (33732864 = 5808²).

The spelling of 34848968 in words is "thirty-four million, eight hundred forty-eight thousand, nine hundred sixty-eight".