334001230400 has 126 divisors (see below), whose sum is σ = 873040986198. Its totient is φ = 125741465600.

The previous prime is 334001230399. The next prime is 334001230411. The reversal of 334001230400 is 4032100433.

It can be written as a sum of positive squares in 9 ways, for example, as 43704411136 + 290296819264 = 209056^2 + 538792^2 .

It is a super-2 number, since 2×334001230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 101240 + ... + 823560.

Almost surely, 2^334001230400 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 334001230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436520493099).

334001230400 is an abundant number, since it is smaller than the sum of its proper divisors (539039755798).

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

334001230400 is a wasteful number, since it uses less digits than its factorization.

334001230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722377 (or 722345 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 334001230400 its reverse (4032100433), we get a palindrome (338033330833).

The spelling of 334001230400 in words is "three hundred thirty-four billion, one million, two hundred thirty thousand, four hundred".