34878528 has 84 divisors (see below), whose sum is σ = 105267760. Its totient is φ = 11010816.

The previous prime is 34878527. The next prime is 34878539. The reversal of 34878528 is 82587843.

It is not an unprimeable number, because it can be changed into a prime (34878521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9351 + ... + 12537.

Almost surely, 2^34878528 is an apocalyptic number.

34878528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52633880).

34878528 is an abundant number, since it is smaller than the sum of its proper divisors (70389232).

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

34878528 is a wasteful number, since it uses less digits than its factorization.

34878528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3211 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 34878528 is about 5905.8046022536. The cubic root of 34878528 is about 326.7277705124.

The spelling of 34878528 in words is "thirty-four million, eight hundred seventy-eight thousand, five hundred twenty-eight".