34327286784 has 220 divisors, whose sum is σ = 117153969504. Its totient is φ = 9807630336.

The previous prime is 34327286729. The next prime is 34327286837. The reversal of 34327286784 is 48768272343.

It is a happy number.

34327286784 is a `hidden beast` number, since 3 + 432 + 72 + 8 + 67 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 34327286784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 551047 + ... + 610169.

Almost surely, 2^34327286784 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 34327286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58576984752).

34327286784 is an abundant number, since it is smaller than the sum of its proper divisors (82826682720).

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

34327286784 is an equidigital number, since it uses as much as digits as its factorization.

34327286784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59162 (or 59135 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 34327286784 in words is "thirty-four billion, three hundred twenty-seven million, two hundred eighty-six thousand, seven hundred eighty-four".