34416928 has 96 divisors (see below), whose sum is σ = 85349376. Its totient is φ = 13298688.

The previous prime is 34416853. The next prime is 34416929. The reversal of 34416928 is 82961443.

It is not an unprimeable number, because it can be changed into a prime (34416929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154225 + ... + 154447.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^34416928 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 34416928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688).

34416928 is an abundant number, since it is smaller than the sum of its proper divisors (50932448).

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

34416928 is a wasteful number, since it uses less digits than its factorization.

34416928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 34416928 is about 5866.5942419772. The cubic root of 34416928 is about 325.2800048454.

It can be divided in two parts, 34416 and 928, that added together give a square (35344 = 188²).

The spelling of 34416928 in words is "thirty-four million, four hundred sixteen thousand, nine hundred twenty-eight".