34057032 has 64 divisors (see below), whose sum is σ = 88714560. Its totient is φ = 10886400.

The previous prime is 34057031. The next prime is 34057061. The reversal of 34057032 is 23075043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34056993 and 34057011.

It is not an unprimeable number, because it can be changed into a prime (34057031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62682 + ... + 63222.

It is an arithmetic number, because the mean of its divisors is an integer number (1386165).

Almost surely, 2^34057032 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 34057032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44357280).

34057032 is an abundant number, since it is smaller than the sum of its proper divisors (54657528).

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

34057032 is a wasteful number, since it uses less digits than its factorization.

34057032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 34057032 is about 5835.8402993913. The cubic root of 34057032 is about 324.1422177055.

The spelling of 34057032 in words is "thirty-four million, fifty-seven thousand, thirty-two".