34249864 has 64 divisors (see below), whose sum is σ = 73488960. Its totient is φ = 14826240.

The previous prime is 34249861. The next prime is 34249877. The reversal of 34249864 is 46894243.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34249861) 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, 218074 + ... + 218230.

It is an arithmetic number, because the mean of its divisors is an integer number (1148265).

Almost surely, 2^34249864 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 34249864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36744480).

34249864 is an abundant number, since it is smaller than the sum of its proper divisors (39239096).

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

34249864 is a wasteful number, since it uses less digits than its factorization.

34249864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 34249864 is about 5852.3383360841. The cubic root of 34249864 is about 324.7528345613.

The spelling of 34249864 in words is "thirty-four million, two hundred forty-nine thousand, eight hundred sixty-four".