34892305017996 has 48 divisors (see below), whose sum is σ = 83152969030656. Its totient is φ = 11382572939904.

The previous prime is 34892305017923. The next prime is 34892305018063. The reversal of 34892305017996 is 69971050329843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6820360 + ... + 10784336.

It is an arithmetic number, because the mean of its divisors is an integer number (1732353521472).

It is a 2-persistent number, because it is pandigital, and so is 2⋅34892305017996 = 69784610035992, but 3⋅34892305017996 = 104676915053988 is not.

Almost surely, 2^{34892305017996} is an apocalyptic number.

It is an amenable number.

34892305017996 is an abundant number, since it is smaller than the sum of its proper divisors (48260664012660).

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

34892305017996 is a wasteful number, since it uses less digits than its factorization.

34892305017996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979638 (or 3979636 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 34892305017996 in words is "thirty-four trillion, eight hundred ninety-two billion, three hundred five million, seventeen thousand, nine hundred ninety-six".