34189517666304 has 1728 divisors, whose sum is σ = 136337163711840. Its totient is φ = 8113029120000.

The previous prime is 34189517666281. The next prime is 34189517666341. The reversal of 34189517666304 is 40366671598143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13044454114 + ... + 13044456734.

Almost surely, 2^{34189517666304} 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 34189517666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68168581855920).

34189517666304 is an abundant number, since it is smaller than the sum of its proper divisors (102147646045536).

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

34189517666304 is a wasteful number, since it uses less digits than its factorization.

34189517666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 34189517666304 in words is "thirty-four trillion, one hundred eighty-nine billion, five hundred seventeen million, six hundred sixty-six thousand, three hundred four".