334734100000 has 72 divisors (see below), whose sum is σ = 823707224676. Its totient is φ = 133893600000.

The previous prime is 334734099977. The next prime is 334734100003. The reversal of 334734100000 is 1437433.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8158424976 + 326575675024 = 90324^2 + 571468^2 .

It is a super-2 number, since 2×334734100000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (334734100003) 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 11 ways as a sum of consecutive naturals, for example, 1573671 + ... + 1773670.

Almost surely, 2^334734100000 is an apocalyptic number.

It is an amenable number.

334734100000 is an abundant number, since it is smaller than the sum of its proper divisors (488973124676).

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

334734100000 is an frugal number, since it uses more digits than its factorization.

334734100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347376 (or 3347348 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

Adding to 334734100000 its reverse (1437433), we get a palindrome (334735537433).

The spelling of 334734100000 in words is "three hundred thirty-four billion, seven hundred thirty-four million, one hundred thousand".