34666441344 has 256 divisors, whose sum is σ = 109653264000. Its totient is φ = 10743201792.

The previous prime is 34666441343. The next prime is 34666441349. The reversal of 34666441344 is 44314466643.

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 34666441344.

It is not an unprimeable number, because it can be changed into a prime (34666441343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4872862 + ... + 4879970.

Almost surely, 2^34666441344 is an apocalyptic number.

34666441344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34666441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826632000).

34666441344 is an abundant number, since it is smaller than the sum of its proper divisors (74986822656).

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

34666441344 is a wasteful number, since it uses less digits than its factorization.

34666441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7214 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 34666441344 in words is "thirty-four billion, six hundred sixty-six million, four hundred forty-one thousand, three hundred forty-four".