34024657816 has 128 divisors (see below), whose sum is σ = 70009632000. Its totient is φ = 15449107968.

The previous prime is 34024657789. The next prime is 34024657841. The reversal of 34024657816 is 61875642043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116124966 + ... + 116125258.

It is an arithmetic number, because the mean of its divisors is an integer number (546950250).

Almost surely, 2^34024657816 is an apocalyptic number.

It is an amenable number.

34024657816 is an abundant number, since it is smaller than the sum of its proper divisors (35984974184).

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

34024657816 is a wasteful number, since it uses less digits than its factorization.

34024657816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 34024657816 in words is "thirty-four billion, twenty-four million, six hundred fifty-seven thousand, eight hundred sixteen".