34540460064 has 72 divisors (see below), whose sum is σ = 107153937072. Its totient is φ = 10466805120.

The previous prime is 34540460041. The next prime is 34540460083. The reversal of 34540460064 is 46006404543.

34540460064 is a `hidden beast` number, since 3 + 4 + 5 + 40 + 4 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5448294 + ... + 5454629.

It is an arithmetic number, because the mean of its divisors is an integer number (1488249126).

Almost surely, 2^34540460064 is an apocalyptic number.

It is an amenable number.

34540460064 is an abundant number, since it is smaller than the sum of its proper divisors (72613477008).

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

34540460064 is a wasteful number, since it uses less digits than its factorization.

34540460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902950 (or 10902939 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34540460064 in words is "thirty-four billion, five hundred forty million, four hundred sixty thousand, sixty-four".