34368432 has 80 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 9755136.

The previous prime is 34368431. The next prime is 34368443. The reversal of 34368432 is 23486343.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34368393 and 34368402.

It is not an unprimeable number, because it can be changed into a prime (34368431) 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, 78069 + ... + 78507.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^34368432 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 34368432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

34368432 is an abundant number, since it is smaller than the sum of its proper divisors (67767888).

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

34368432 is a wasteful number, since it uses less digits than its factorization.

34368432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 34368432 is about 5862.4595520993. The cubic root of 34368432 is about 325.1271518250.

The spelling of 34368432 in words is "thirty-four million, three hundred sixty-eight thousand, four hundred thirty-two".