334021400 has 48 divisors (see below), whose sum is σ = 778640640. Its totient is φ = 133257600.

The previous prime is 334021397. The next prime is 334021403. The reversal of 334021400 is 4120433.

It is an interprime number because it is at equal distance from previous prime (334021397) and next prime (334021403).

It is a super-2 number, since 2×334021400² = 223140591315920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334021403) 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 11 ways as a sum of consecutive naturals, for example, 82217 + ... + 86183.

It is an arithmetic number, because the mean of its divisors is an integer number (16221680).

Almost surely, 2^334021400 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 334021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389320320).

334021400 is an abundant number, since it is smaller than the sum of its proper divisors (444619240).

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

334021400 is a wasteful number, since it uses less digits than its factorization.

334021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 334021400 is about 18276.2523510702. The cubic root of 334021400 is about 693.8380252454.

Adding to 334021400 its reverse (4120433), we get a palindrome (338141833).

The spelling of 334021400 in words is "three hundred thirty-four million, twenty-one thousand, four hundred".