34371004667664 has 160 divisors (see below), whose sum is σ = 102001704330240. Its totient is φ = 9769451521536.

The previous prime is 34371004667651. The next prime is 34371004667669. The reversal of 34371004667664 is 46676640017343.

It is not an unprimeable number, because it can be changed into a prime (34371004667669) 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, 877620147 + ... + 877659309.

It is an arithmetic number, because the mean of its divisors is an integer number (637510652064).

Almost surely, 2^{34371004667664} 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 34371004667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51000852165120).

34371004667664 is an abundant number, since it is smaller than the sum of its proper divisors (67630699662576).

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

34371004667664 is a wasteful number, since it uses less digits than its factorization.

34371004667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52637 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 57.

The spelling of 34371004667664 in words is "thirty-four trillion, three hundred seventy-one billion, four million, six hundred sixty-seven thousand, six hundred sixty-four".