34368768 has 108 divisors (see below), whose sum is σ = 113303008. Its totient is φ = 9815040.

The previous prime is 34368727. The next prime is 34368773. The reversal of 34368768 is 86786343.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15063 + ... + 17193.

Almost surely, 2^34368768 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 34368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56651504).

34368768 is an abundant number, since it is smaller than the sum of its proper divisors (78934240).

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

34368768 is a wasteful number, since it uses less digits than its factorization.

34368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2143 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 34368768 is about 5862.4882089434. The cubic root of 34368768 is about 325.1282113474.

The spelling of 34368768 in words is "thirty-four million, three hundred sixty-eight thousand, seven hundred sixty-eight".