34829052 has 48 divisors (see below), whose sum is σ = 86136960. Its totient is φ = 10922688.

The previous prime is 34829051. The next prime is 34829063. The reversal of 34829052 is 25092843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34829051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39003 + ... + 39885.

It is an arithmetic number, because the mean of its divisors is an integer number (1794520).

Almost surely, 2^34829052 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 34829052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068480).

34829052 is an abundant number, since it is smaller than the sum of its proper divisors (51307908).

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

34829052 is a wasteful number, since it uses less digits than its factorization.

34829052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 34829052 is about 5901.6143554116. The cubic root of 34829052 is about 326.5732071015.

The spelling of 34829052 in words is "thirty-four million, eight hundred twenty-nine thousand, fifty-two".