34392768 has 112 divisors (see below), whose sum is σ = 99084384. Its totient is φ = 10485760.

The previous prime is 34392737. The next prime is 34392769. The reversal of 34392768 is 86729343.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34392769) 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, 133696 + ... + 133952.

It is an arithmetic number, because the mean of its divisors is an integer number (884682).

Almost surely, 2^34392768 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 34392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49542192).

34392768 is an abundant number, since it is smaller than the sum of its proper divisors (64691616).

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

34392768 is a wasteful number, since it uses less digits than its factorization.

34392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 34392768 is about 5864.5347641565. The cubic root of 34392768 is about 325.2038736605.

The spelling of 34392768 in words is "thirty-four million, three hundred ninety-two thousand, seven hundred sixty-eight".