34628096 has 40 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 16933888.

The previous prime is 34628071. The next prime is 34628107. The reversal of 34628096 is 69082643.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23345 + ... + 24783.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^34628096 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 34628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

34628096 is an abundant number, since it is smaller than the sum of its proper divisors (36081664).

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

34628096 is an equidigital number, since it uses as much as digits as its factorization.

34628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 34628096 is about 5884.5642149610. The cubic root of 34628096 is about 325.9439099555.

The spelling of 34628096 in words is "thirty-four million, six hundred twenty-eight thousand, ninety-six".