34097728 has 84 divisors (see below), whose sum is σ = 80266032. Its totient is φ = 14327040.

The previous prime is 34097717. The next prime is 34097771. The reversal of 34097728 is 82779043.

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, 260223 + ... + 260353.

It is an arithmetic number, because the mean of its divisors is an integer number (955548).

Almost surely, 2^34097728 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 34097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40133016).

34097728 is an abundant number, since it is smaller than the sum of its proper divisors (46168304).

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

34097728 is a wasteful number, since it uses less digits than its factorization.

34097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 34097728 is about 5839.3259885024. The cubic root of 34097728 is about 324.2712761324.

The spelling of 34097728 in words is "thirty-four million, ninety-seven thousand, seven hundred twenty-eight".