34407665448 has 128 divisors (see below), whose sum is σ = 95487275520. Its totient is φ = 10263214080.

The previous prime is 34407665447. The next prime is 34407665449. The reversal of 34407665448 is 84456670443.

It is an interprime number because it is at equal distance from previous prime (34407665447) and next prime (34407665449).

It is a self number, because there is not a number n which added to its sum of digits gives 34407665448.

It is not an unprimeable number, because it can be changed into a prime (34407665441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238561 + ... + 3249167.

It is an arithmetic number, because the mean of its divisors is an integer number (745994340).

Almost surely, 2^34407665448 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 34407665448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47743637760).

34407665448 is an abundant number, since it is smaller than the sum of its proper divisors (61079610072).

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

34407665448 is a wasteful number, since it uses less digits than its factorization.

34407665448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 34407665448 in words is "thirty-four billion, four hundred seven million, six hundred sixty-five thousand, four hundred forty-eight".