334400004 has 36 divisors (see below), whose sum is σ = 850190796. Its totient is φ = 110820288.

The previous prime is 334399999. The next prime is 334400041. The reversal of 334400004 is 400004433.

It can be written as a sum of positive squares in 2 ways, for example, as 193265604 + 141134400 = 13902^2 + 11880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×334400004² = 223646725350400032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 334400004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20619 + ... + 33074.

It is an arithmetic number, because the mean of its divisors is an integer number (23616411).

Almost surely, 2^334400004 is an apocalyptic number.

It is an amenable number.

334400004 is an abundant number, since it is smaller than the sum of its proper divisors (515790792).

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

334400004 is a wasteful number, since it uses less digits than its factorization.

334400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53876 (or 53871 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334400004 is about 18286.6072304296. The cubic root of 334400004 is about 694.1000749859.

Adding to 334400004 its reverse (400004433), we get a palindrome (734404437).

The spelling of 334400004 in words is "three hundred thirty-four million, four hundred thousand, four".