34013728 has 24 divisors (see below), whose sum is σ = 76531392. Its totient is φ = 14577216.

The previous prime is 34013671. The next prime is 34013737. The reversal of 34013728 is 82731043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34013696 and 34013705.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75700 + ... + 76147.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2^34013728 is an apocalyptic number.

It is an amenable number.

34013728 is an abundant number, since it is smaller than the sum of its proper divisors (42517664).

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

34013728 is a wasteful number, since it uses less digits than its factorization.

34013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151864 (or 151856 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34013728 is about 5832.1289423332. The cubic root of 34013728 is about 324.0047756244.

The spelling of 34013728 in words is "thirty-four million, thirteen thousand, seven hundred twenty-eight".