34885968 has 80 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 10437120.

The previous prime is 34885967. The next prime is 34885987. The reversal of 34885968 is 86958843.

It is a self number, because there is not a number n which added to its sum of digits gives 34885968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34885967) 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, 22333 + ... + 23843.

Almost surely, 2^34885968 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 34885968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

34885968 is an abundant number, since it is smaller than the sum of its proper divisors (64857648).

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

34885968 is a wasteful number, since it uses less digits than its factorization.

34885968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 34885968 is about 5906.4344574371. The cubic root of 34885968 is about 326.7510004854.

It can be divided in two parts, 34885 and 968, that added together give a palindrome (35853).

The spelling of 34885968 in words is "thirty-four million, eight hundred eighty-five thousand, nine hundred sixty-eight".