34638718464 has 120 divisors (see below), whose sum is σ = 114251177040. Its totient is φ = 9896767488.

The previous prime is 34638718459. The next prime is 34638718469. The reversal of 34638718464 is 46481783643.

34638718464 is a `hidden beast` number, since 34 + 63 + 87 + 18 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (34638718459) and next prime (34638718469).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34638718464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34638718469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504679 + ... + 569190.

It is an arithmetic number, because the mean of its divisors is an integer number (952093142).

Almost surely, 2^34638718464 is an apocalyptic number.

It is an amenable number.

34638718464 is an abundant number, since it is smaller than the sum of its proper divisors (79612458576).

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

34638718464 is a wasteful number, since it uses less digits than its factorization.

34638718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073900 (or 1073881 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 34638718464 in words is "thirty-four billion, six hundred thirty-eight million, seven hundred eighteen thousand, four hundred sixty-four".