34587824064 has 28 divisors (see below), whose sum is σ = 91513618344. Its totient is φ = 11529274624.

The previous prime is 34587824041. The next prime is 34587824069. The reversal of 34587824064 is 46042878543.

It is a junction number, because it is equal to n+sod(n) for n = 34587823998 and 34587824016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34587824069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90072267 + ... + 90072650.

Almost surely, 2^34587824064 is an apocalyptic number.

It is an amenable number.

34587824064 is an abundant number, since it is smaller than the sum of its proper divisors (56925794280).

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

34587824064 is a wasteful number, since it uses less digits than its factorization.

34587824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180144932 (or 180144922 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 34587824064 in words is "thirty-four billion, five hundred eighty-seven million, eight hundred twenty-four thousand, sixty-four".