34244505006 has 48 divisors (see below), whose sum is σ = 71640132480. Its totient is φ = 10911849520.

The previous prime is 34244504993. The next prime is 34244505017. The reversal of 34244505006 is 60050544243.

It is a super-2 number, since 2×34244505006² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9326551 + ... + 9330221.

It is an arithmetic number, because the mean of its divisors is an integer number (1492502760).

Almost surely, 2^34244505006 is an apocalyptic number.

34244505006 is an abundant number, since it is smaller than the sum of its proper divisors (37395627474).

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

34244505006 is a wasteful number, since it uses less digits than its factorization.

34244505006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 34244505006 in words is "thirty-four billion, two hundred forty-four million, five hundred five thousand, six".