334680618400 has 144 divisors (see below), whose sum is σ = 865449154584. Its totient is φ = 125946593280.

The previous prime is 334680618373. The next prime is 334680618407. The reversal of 334680618400 is 4816086433.

It can be written as a sum of positive squares in 12 ways, for example, as 11388304656 + 323292313744 = 106716^2 + 568588^2 .

It is a super-2 number, since 2×334680618400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334680618407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65454244 + ... + 65459356.

Almost surely, 2^334680618400 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 334680618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432724577292).

334680618400 is an abundant number, since it is smaller than the sum of its proper divisors (530768536184).

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

334680618400 is a wasteful number, since it uses less digits than its factorization.

334680618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 334680618400 in words is "three hundred thirty-four billion, six hundred eighty million, six hundred eighteen thousand, four hundred".