34810968 has 64 divisors (see below), whose sum is σ = 94439520. Its totient is φ = 10649600.

The previous prime is 34810967. The next prime is 34811017. The reversal of 34810968 is 86901843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34810961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15688 + ... + 17768.

Almost surely, 2^34810968 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 34810968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47219760).

34810968 is an abundant number, since it is smaller than the sum of its proper divisors (59628552).

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

34810968 is a wasteful number, since it uses less digits than its factorization.

34810968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 34810968 is about 5900.0820333280. The cubic root of 34810968 is about 326.5166760164.

It can be divided in two parts, 34810 and 968, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 34810968 in words is "thirty-four million, eight hundred ten thousand, nine hundred sixty-eight".