34366153668 has 384 divisors, whose sum is σ = 106587672576. Its totient is φ = 8360755200.

The previous prime is 34366153663. The next prime is 34366153699. The reversal of 34366153668 is 86635166343.

It is a self number, because there is not a number n which added to its sum of digits gives 34366153668.

It is not an unprimeable number, because it can be changed into a prime (34366153663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142598028 + ... + 142598268.

It is an arithmetic number, because the mean of its divisors is an integer number (277572064).

Almost surely, 2^34366153668 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 34366153668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53293836288).

34366153668 is an abundant number, since it is smaller than the sum of its proper divisors (72221518908).

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

34366153668 is a wasteful number, since it uses less digits than its factorization.

34366153668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 34366153668 in words is "thirty-four billion, three hundred sixty-six million, one hundred fifty-three thousand, six hundred sixty-eight".