34852644424560 has 80 divisors (see below), whose sum is σ = 110678397691680. Its totient is φ = 9067354644480.

The previous prime is 34852644424541. The next prime is 34852644424561. The reversal of 34852644424560 is 6542444625843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34852644424560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34852644424561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770957865 + ... + 1770977544.

It is an arithmetic number, because the mean of its divisors is an integer number (1383479971146).

Almost surely, 2^{34852644424560} is an apocalyptic number.

34852644424560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34852644424560 is an abundant number, since it is smaller than the sum of its proper divisors (75825753267120).

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

34852644424560 is a wasteful number, since it uses less digits than its factorization.

34852644424560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541935466 (or 3541935460 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 57.

The spelling of 34852644424560 in words is "thirty-four trillion, eight hundred fifty-two billion, six hundred forty-four million, four hundred twenty-four thousand, five hundred sixty".