34611582464 has 80 divisors (see below), whose sum is σ = 69759597600. Its totient is φ = 17155375104.

The previous prime is 34611582457. The next prime is 34611582487. The reversal of 34611582464 is 46428511643.

It is a super-2 number, since 2×34611582464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41252957 + ... + 41253795.

It is an arithmetic number, because the mean of its divisors is an integer number (871994970).

Almost surely, 2^34611582464 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 34611582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34879798800).

34611582464 is an abundant number, since it is smaller than the sum of its proper divisors (35148015136).

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

34611582464 is an equidigital number, since it uses as much as digits as its factorization.

34611582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1447 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The spelling of 34611582464 in words is "thirty-four billion, six hundred eleven million, five hundred eighty-two thousand, four hundred sixty-four".