34149264 has 80 divisors (see below), whose sum is σ = 91333440. Its totient is φ = 10990080.

The previous prime is 34149263. The next prime is 34149287. The reversal of 34149264 is 46294143.

Its product of digits (20736) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (34149263) 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, 313242 + ... + 313350.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^34149264 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 34149264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666720).

34149264 is an abundant number, since it is smaller than the sum of its proper divisors (57184176).

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

34149264 is a wasteful number, since it uses less digits than its factorization.

34149264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 34149264 is about 5843.7371604137. The cubic root of 34149264 is about 324.4345639631.

The spelling of 34149264 in words is "thirty-four million, one hundred forty-nine thousand, two hundred sixty-four".