34748928 has 60 divisors (see below), whose sum is σ = 100301058. Its totient is φ = 11581440.

The previous prime is 34748899. The next prime is 34748941. The reversal of 34748928 is 82984743.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 1016064 = 5808^2 + 1008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 838 + ... + 8378.

Almost surely, 2^34748928 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 34748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150529).

34748928 is an abundant number, since it is smaller than the sum of its proper divisors (65552130).

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

34748928 is an equidigital number, since it uses as much as digits as its factorization.

34748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7546 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 34748928 is about 5894.8221347213. The cubic root of 34748928 is about 326.3225883316.

The spelling of 34748928 in words is "thirty-four million, seven hundred forty-eight thousand, nine hundred twenty-eight".