34279128 has 96 divisors (see below), whose sum is σ = 102014640. Its totient is φ = 10333440.

The previous prime is 34279109. The next prime is 34279139. The reversal of 34279128 is 82197243.

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 = 34279092 and 34279101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49263 + ... + 49953.

Almost surely, 2^34279128 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 34279128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51007320).

34279128 is an abundant number, since it is smaller than the sum of its proper divisors (67735512).

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

34279128 is a wasteful number, since it uses less digits than its factorization.

34279128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34279128 is about 5854.8379994668. The cubic root of 34279128 is about 324.8453007342.

The spelling of 34279128 in words is "thirty-four million, two hundred seventy-nine thousand, one hundred twenty-eight".