34408078368 has 96 divisors (see below), whose sum is σ = 93109746240. Its totient is φ = 11117583360.

The previous prime is 34408078349. The next prime is 34408078373. The reversal of 34408078368 is 86387080443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34408078368.

It is an unprimeable number.

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, 937483 + ... + 973493.

It is an arithmetic number, because the mean of its divisors is an integer number (969893190).

Almost surely, 2^34408078368 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 34408078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46554873120).

34408078368 is an abundant number, since it is smaller than the sum of its proper divisors (58701667872).

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

34408078368 is a wasteful number, since it uses less digits than its factorization.

34408078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36330 (or 36322 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

It can be divided in two parts, 3440 and 8078368, that added together give a palindrome (8081808).

The spelling of 34408078368 in words is "thirty-four billion, four hundred eight million, seventy-eight thousand, three hundred sixty-eight".