34601268 has 48 divisors (see below), whose sum is σ = 87635520. Its totient is φ = 10562304.

The previous prime is 34601267. The next prime is 34601291. The reversal of 34601268 is 86210643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34601267) 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, 20563 + ... + 22181.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 2^34601268 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 34601268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43817760).

34601268 is an abundant number, since it is smaller than the sum of its proper divisors (53034252).

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

34601268 is a wasteful number, since it uses less digits than its factorization.

34601268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34601268 is about 5882.2842501872. The cubic root of 34601268 is about 325.8597135617.

The spelling of 34601268 in words is "thirty-four million, six hundred one thousand, two hundred sixty-eight".