34440166608 has 160 divisors (see below), whose sum is σ = 93371107200. Its totient is φ = 10924720128.

The previous prime is 34440166597. The next prime is 34440166639. The reversal of 34440166608 is 80666104443.

It is a happy number.

It is a super-2 number, since 2×34440166608² (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 34440166608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51173760 + ... + 51174432.

It is an arithmetic number, because the mean of its divisors is an integer number (583569420).

Almost surely, 2^34440166608 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 34440166608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685553600).

34440166608 is an abundant number, since it is smaller than the sum of its proper divisors (58930940592).

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

34440166608 is a wasteful number, since it uses less digits than its factorization.

34440166608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 34440166608 in words is "thirty-four billion, four hundred forty million, one hundred sixty-six thousand, six hundred eight".