34093728 has 72 divisors (see below), whose sum is σ = 101189088. Its totient is φ = 10868352.

The previous prime is 34093727. The next prime is 34093729. The reversal of 34093728 is 82739043.

It is an interprime number because it is at equal distance from previous prime (34093727) and next prime (34093729).

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 = 34093692 and 34093701.

It is not an unprimeable number, because it can be changed into a prime (34093727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4051 + ... + 9197.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 2^34093728 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 34093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594544).

34093728 is an abundant number, since it is smaller than the sum of its proper divisors (67095360).

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

34093728 is a wasteful number, since it uses less digits than its factorization.

34093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34093728 is about 5838.9834731741. The cubic root of 34093728 is about 324.2585955630.

The spelling of 34093728 in words is "thirty-four million, ninety-three thousand, seven hundred twenty-eight".