34081648640 has 312 divisors, whose sum is σ = 91016426160. Its totient is φ = 12237668352.

The previous prime is 34081648631. The next prime is 34081648661. The reversal of 34081648640 is 4684618043.

It is a junction number, because it is equal to n+sod(n) for n = 34081648591 and 34081648600.

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 23 ways as a sum of consecutive naturals, for example, 148828046 + ... + 148828274.

Almost surely, 2^34081648640 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 34081648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45508213080).

34081648640 is an abundant number, since it is smaller than the sum of its proper divisors (56934777520).

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

34081648640 is a wasteful number, since it uses less digits than its factorization.

34081648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 34081648640 in words is "thirty-four billion, eighty-one million, six hundred forty-eight thousand, six hundred forty".