4000333734 has 24 divisors (see below), whose sum is σ = 8678108712. Its totient is φ = 1331795520.

The previous prime is 4000333723. The next prime is 4000333783. The reversal of 4000333734 is 4373330004.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4000333698 and 4000333707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122419 + ... + 151614.

It is an arithmetic number, because the mean of its divisors is an integer number (361587863).

Almost surely, 2^4000333734 is an apocalyptic number.

4000333734 is an abundant number, since it is smaller than the sum of its proper divisors (4677774978).

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

4000333734 is a wasteful number, since it uses less digits than its factorization.

4000333734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274852 (or 274849 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 4000333734 is about 63248.1915472688. The cubic root of 4000333734 is about 1587.4451982157.

Adding to 4000333734 its reverse (4373330004), we get a palindrome (8373663738).

It can be divided in two parts, 40003 and 33734, that added together give a palindrome (73737).

The spelling of 4000333734 in words is "four billion, three hundred thirty-three thousand, seven hundred thirty-four".