34039984001088 has 448 divisors, whose sum is σ = 104830964888832. Its totient is φ = 9654345400320.

The previous prime is 34039984001083. The next prime is 34039984001113. The reversal of 34039984001088 is 88010048993043.

It is not an unprimeable number, because it can be changed into a prime (34039984001083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603057795 + ... + 603114237.

It is an arithmetic number, because the mean of its divisors is an integer number (233997689484).

Almost surely, 2^{34039984001088} 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 34039984001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52415482444416).

34039984001088 is an abundant number, since it is smaller than the sum of its proper divisors (70790980887744).

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

34039984001088 is a wasteful number, since it uses less digits than its factorization.

34039984001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56782 (or 56772 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 34039984001088 in words is "thirty-four trillion, thirty-nine billion, nine hundred eighty-four million, one thousand, eighty-eight".