34001399808 has 364 divisors, whose sum is σ = 104210161320. Its totient is φ = 11083972608.

The previous prime is 34001399791. The next prime is 34001399837. The reversal of 34001399808 is 80899310043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 176172960 + ... + 176173152.

Almost surely, 2^34001399808 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 34001399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52105080660).

34001399808 is an abundant number, since it is smaller than the sum of its proper divisors (70208761512).

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

34001399808 is an frugal number, since it uses more digits than its factorization.

34001399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 34001399808 in words is "thirty-four billion, one million, three hundred ninety-nine thousand, eight hundred eight".