334400220 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 66401280.

The previous prime is 334400219. The next prime is 334400233. The reversal of 334400220 is 22004433.

334400220 is a `hidden beast` number, since 3 + 3 + 440 + 0 + 220 = 666.

It is a super-2 number, since 2×334400220² = 223647014272096800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334400193 and 334400202.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 318256 + ... + 319304.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^334400220 is an apocalyptic number.

334400220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

334400220 is an abundant number, since it is smaller than the sum of its proper divisors (986482980).

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

334400220 is a wasteful number, since it uses less digits than its factorization.

334400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

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

The square root of 334400220 is about 18286.6131363902. The cubic root of 334400220 is about 694.1002244333.

Adding to 334400220 its reverse (22004433), we get a palindrome (356404653).

The spelling of 334400220 in words is "three hundred thirty-four million, four hundred thousand, two hundred twenty".