34329732 has 72 divisors (see below), whose sum is σ = 89742240. Its totient is φ = 10183680.

The previous prime is 34329683. The next prime is 34329733. The reversal of 34329732 is 23792343.

It is a junction number, because it is equal to n+sod(n) for n = 34329693 and 34329702.

It is not an unprimeable number, because it can be changed into a prime (34329733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65632 + ... + 66152.

It is an arithmetic number, because the mean of its divisors is an integer number (1246420).

Almost surely, 2^34329732 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 34329732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44871120).

34329732 is an abundant number, since it is smaller than the sum of its proper divisors (55412508).

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

34329732 is a wasteful number, since it uses less digits than its factorization.

34329732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 34329732 is about 5859.1579599803. The cubic root of 34329732 is about 325.0050713213.

The spelling of 34329732 in words is "thirty-four million, three hundred twenty-nine thousand, seven hundred thirty-two".