34733440 has 64 divisors (see below), whose sum is σ = 94908960. Its totient is φ = 11907072.

The previous prime is 34733411. The next prime is 34733449. The reversal of 34733440 is 4433743.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34733399 and 34733408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34733449) 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 7 ways as a sum of consecutive naturals, for example, 604 + ... + 8356.

Almost surely, 2^34733440 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 34733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47454480).

34733440 is an abundant number, since it is smaller than the sum of its proper divisors (60175520).

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

34733440 is an equidigital number, since it uses as much as digits as its factorization.

34733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 34733440 is about 5893.5082930289. The cubic root of 34733440 is about 326.2740992068.

The spelling of 34733440 in words is "thirty-four million, seven hundred thirty-three thousand, four hundred forty".