34005189379608 has 256 divisors, whose sum is σ = 100179834480000. Its totient is φ = 10650756759552.

The previous prime is 34005189379571. The next prime is 34005189379633. The reversal of 34005189379608 is 80697398150043.

34005189379608 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 5 + 18 + 9 + 3 + 7 + 9 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9668803866 + ... + 9668807382.

Almost surely, 2^{34005189379608} 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 34005189379608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50089917240000).

34005189379608 is an abundant number, since it is smaller than the sum of its proper divisors (66174645100392).

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

34005189379608 is a wasteful number, since it uses less digits than its factorization.

34005189379608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 34005189379608 in words is "thirty-four trillion, five billion, one hundred eighty-nine million, three hundred seventy-nine thousand, six hundred eight".