34368264 has 192 divisors, whose sum is σ = 116188800. Its totient is φ = 8957952.

The previous prime is 34368259. The next prime is 34368307. The reversal of 34368264 is 46286343.

It is a happy number.

34368264 is a `hidden beast` number, since 34 + 368 + 264 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354264 + ... + 354360.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^34368264 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 34368264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58094400).

34368264 is an abundant number, since it is smaller than the sum of its proper divisors (81820536).

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

34368264 is a wasteful number, since it uses less digits than its factorization.

34368264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34368264 is about 5862.4452236247. The cubic root of 34368264 is about 325.1266220612.

The spelling of 34368264 in words is "thirty-four million, three hundred sixty-eight thousand, two hundred sixty-four".