34385288 has 64 divisors (see below), whose sum is σ = 82166400. Its totient is φ = 13132800.

The previous prime is 34385261. The next prime is 34385291. The reversal of 34385288 is 88258343.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17138 + ... + 19038.

It is an arithmetic number, because the mean of its divisors is an integer number (1283850).

Almost surely, 2^34385288 is an apocalyptic number.

34385288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34385288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41083200).

34385288 is an abundant number, since it is smaller than the sum of its proper divisors (47781112).

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

34385288 is a wasteful number, since it uses less digits than its factorization.

34385288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1946 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 34385288 is about 5863.8969977311. The cubic root of 34385288 is about 325.1802960163.

The spelling of 34385288 in words is "thirty-four million, three hundred eighty-five thousand, two hundred eighty-eight".