334443831696 has 360 divisors, whose sum is σ = 1040840286720. Its totient is φ = 100169312256.

The previous prime is 334443831677. The next prime is 334443831697. The reversal of 334443831696 is 696138344433.

It is a happy number.

334443831696 is a `hidden beast` number, since 3 + 3 + 44 + 438 + 3 + 169 + 6 = 666.

It is a super-2 number, since 2×334443831696² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (334443831697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140344521 + ... + 140346903.

Almost surely, 2^334443831696 is an apocalyptic number.

334443831696 is a gapful number since it is divisible by the number (36) 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 334443831696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520420143360).

334443831696 is an abundant number, since it is smaller than the sum of its proper divisors (706396455024).

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

334443831696 is a wasteful number, since it uses less digits than its factorization.

334443831696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2553 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 334443831696 in words is "three hundred thirty-four billion, four hundred forty-three million, eight hundred thirty-one thousand, six hundred ninety-six".