35338305840384 has 144 divisors (see below), whose sum is σ = 94451046084864. Its totient is φ = 11729490739200.

The previous prime is 35338305840361. The next prime is 35338305840389. The reversal of 35338305840384 is 48304850383353.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35338305840389) 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 15 ways as a sum of consecutive naturals, for example, 172352712 + ... + 172557624.

It is an arithmetic number, because the mean of its divisors is an integer number (655910042256).

Almost surely, 2^{35338305840384} 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 35338305840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47225523042432).

35338305840384 is an abundant number, since it is smaller than the sum of its proper divisors (59112740244480).

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

35338305840384 is a wasteful number, since it uses less digits than its factorization.

35338305840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205884 (or 205870 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 35338305840384 in words is "thirty-five trillion, three hundred thirty-eight billion, three hundred five million, eight hundred forty thousand, three hundred eighty-four".