34197264 has 120 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 10402560.

The previous prime is 34197259. The next prime is 34197281. The reversal of 34197264 is 46279143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79129 + ... + 79559.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^34197264 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 34197264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

34197264 is an abundant number, since it is smaller than the sum of its proper divisors (70260336).

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

34197264 is a wasteful number, since it uses less digits than its factorization.

34197264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34197264 is about 5847.8426791425. The cubic root of 34197264 is about 324.5865005553.

The spelling of 34197264 in words is "thirty-four million, one hundred ninety-seven thousand, two hundred sixty-four".