34345728 has 72 divisors (see below), whose sum is σ = 101586800. Its totient is φ = 11446272.

The previous prime is 34345709. The next prime is 34345733. The reversal of 34345728 is 82754343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 34345692 and 34345701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4428 + ... + 9396.

Almost surely, 2^34345728 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 34345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50793400).

34345728 is an abundant number, since it is smaller than the sum of its proper divisors (67241072).

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

34345728 is an equidigital number, since it uses as much as digits as its factorization.

34345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4974 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34345728 is about 5860.5228435695. The cubic root of 34345728 is about 325.0555423811.

The spelling of 34345728 in words is "thirty-four million, three hundred forty-five thousand, seven hundred twenty-eight".