334132240200 has 384 divisors, whose sum is σ = 1157068800000. Its totient is φ = 79068774400.

The previous prime is 334132240193. The next prime is 334132240213. The reversal of 334132240200 is 2042231433.

It is a super-2 number, since 2×334132240200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139278601 + ... + 139280999.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200000).

Almost surely, 2^334132240200 is an apocalyptic number.

334132240200 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 334132240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400000).

334132240200 is an abundant number, since it is smaller than the sum of its proper divisors (822936559800).

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

334132240200 is a wasteful number, since it uses less digits than its factorization.

334132240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 334132240200 its reverse (2042231433), we get a palindrome (336174471633).

The spelling of 334132240200 in words is "three hundred thirty-four billion, one hundred thirty-two million, two hundred forty thousand, two hundred".