34742528 has 36 divisors (see below), whose sum is σ = 70021308. Its totient is φ = 17203200.

The previous prime is 34742527. The next prime is 34742531. The reversal of 34742528 is 82524743.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 34480384 = 512^2 + 5872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34742527) by changing a digit.

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, 28328 + ... + 29528.

Almost surely, 2^34742528 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 34742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010654).

34742528 is an abundant number, since it is smaller than the sum of its proper divisors (35278780).

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

34742528 is a wasteful number, since it uses less digits than its factorization.

34742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1316 counting only the distinct ones).

The product of its digits is 53760, while the sum is 35.

The square root of 34742528 is about 5894.2792604355. The cubic root of 34742528 is about 326.3025532503.

It can be divided in two parts, 347 and 42528, that added together give a cube (42875 = 35³).

The spelling of 34742528 in words is "thirty-four million, seven hundred forty-two thousand, five hundred twenty-eight".