34868952 has 96 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 10825920.

The previous prime is 34868929. The next prime is 34868959. The reversal of 34868952 is 25986843.

It is a junction number, because it is equal to n+sod(n) for n = 34868898 and 34868907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34868959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96949 + ... + 97307.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^34868952 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 34868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

34868952 is an abundant number, since it is smaller than the sum of its proper divisors (66219048).

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

34868952 is a wasteful number, since it uses less digits than its factorization.

34868952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 34868952 is about 5904.9938187944. The cubic root of 34868952 is about 326.6978664263.

The spelling of 34868952 in words is "thirty-four million, eight hundred sixty-eight thousand, nine hundred fifty-two".