34443936 has 72 divisors (see below), whose sum is σ = 100373364. Its totient is φ = 11197440.

The previous prime is 34443923. The next prime is 34443943. The reversal of 34443936 is 63934443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34152336 + 291600 = 5844^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34443936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10350 + ... + 13266.

Almost surely, 2^34443936 is an apocalyptic number.

34443936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50186682).

34443936 is an abundant number, since it is smaller than the sum of its proper divisors (65929428).

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

34443936 is a wasteful number, since it uses less digits than its factorization.

34443936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2963 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 34443936 is about 5868.8956371706. The cubic root of 34443936 is about 325.3650682710.

The spelling of 34443936 in words is "thirty-four million, four hundred forty-three thousand, nine hundred thirty-six".