34729728 has 72 divisors (see below), whose sum is σ = 100859136. Its totient is φ = 10521600.

The previous prime is 34729711. The next prime is 34729741. The reversal of 34729728 is 82792743.

It is a self number, because there is not a number n which added to its sum of digits gives 34729728.

It is a congruent number.

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, 6393 + ... + 10503.

Almost surely, 2^34729728 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 34729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429568).

34729728 is an abundant number, since it is smaller than the sum of its proper divisors (66129408).

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

34729728 is a wasteful number, since it uses less digits than its factorization.

34729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4127 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 34729728 is about 5893.1933618370. The cubic root of 34729728 is about 326.2624757050.

The spelling of 34729728 in words is "thirty-four million, seven hundred twenty-nine thousand, seven hundred twenty-eight".