34804240640 has 288 divisors, whose sum is σ = 93677337600. Its totient is φ = 12302254080.

The previous prime is 34804240637. The next prime is 34804240643. The reversal of 34804240640 is 4604240843.

It is an interprime number because it is at equal distance from previous prime (34804240637) and next prime (34804240643).

It is a super-2 number, since 2×34804240640² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34804240640.

It is not an unprimeable number, because it can be changed into a prime (34804240643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56226251 + ... + 56226869.

Almost surely, 2^34804240640 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 34804240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46838668800).

34804240640 is an abundant number, since it is smaller than the sum of its proper divisors (58873096960).

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

34804240640 is a wasteful number, since it uses less digits than its factorization.

34804240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 34804240640 in words is "thirty-four billion, eight hundred four million, two hundred forty thousand, six hundred forty".