34064928 has 96 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 11202048.

The previous prime is 34064917. The next prime is 34064951. The reversal of 34064928 is 82946043.

It is a happy number.

34064928 is a `hidden beast` number, since 3 + 4 + 0 + 649 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 34064892 and 34064901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76675 + ... + 77117.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^34064928 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 34064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

34064928 is an abundant number, since it is smaller than the sum of its proper divisors (66634272).

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

34064928 is a wasteful number, since it uses less digits than its factorization.

34064928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34064928 is about 5836.5167694439. The cubic root of 34064928 is about 324.1672661711.

The spelling of 34064928 in words is "thirty-four million, sixty-four thousand, nine hundred twenty-eight".