34382960 has 40 divisors (see below), whose sum is σ = 80694240. Its totient is φ = 13623552.

The previous prime is 34382939. The next prime is 34382977. The reversal of 34382960 is 6928343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 34382960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6749 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (2017356).

Almost surely, 2^34382960 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 34382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40347120).

34382960 is an abundant number, since it is smaller than the sum of its proper divisors (46311280).

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

34382960 is a wasteful number, since it uses less digits than its factorization.

34382960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 34382960 is about 5863.6984915666. The cubic root of 34382960 is about 325.1729572496.

The spelling of 34382960 in words is "thirty-four million, three hundred eighty-two thousand, nine hundred sixty".