34000326240 has 96 divisors (see below), whose sum is σ = 107140846176. Its totient is φ = 9063383040.

The previous prime is 34000326233. The next prime is 34000326253. The reversal of 34000326240 is 4262300043.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34000326240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448034 + ... + 1471326.

It is an arithmetic number, because the mean of its divisors is an integer number (1116050481).

Almost surely, 2^34000326240 is an apocalyptic number.

34000326240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34000326240 is an abundant number, since it is smaller than the sum of its proper divisors (73140519936).

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

34000326240 is a wasteful number, since it uses less digits than its factorization.

34000326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26352 (or 26344 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34000326240 its reverse (4262300043), we get a palindrome (38262626283).

The spelling of 34000326240 in words is "thirty-four billion, three hundred twenty-six thousand, two hundred forty".