34615434464 has 72 divisors (see below), whose sum is σ = 73864550592. Its totient is φ = 15961221120.

The previous prime is 34615434443. The next prime is 34615434467. The reversal of 34615434464 is 46443451643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34615434467) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7357937 + ... + 7362639.

It is an arithmetic number, because the mean of its divisors is an integer number (1025896536).

Almost surely, 2^34615434464 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 34615434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36932275296).

34615434464 is an abundant number, since it is smaller than the sum of its proper divisors (39249116128).

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

34615434464 is a wasteful number, since it uses less digits than its factorization.

34615434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6079 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 44.

The spelling of 34615434464 in words is "thirty-four billion, six hundred fifteen million, four hundred thirty-four thousand, four hundred sixty-four".