334201984032 has 192 divisors, whose sum is σ = 1012755744000. Its totient is φ = 94521323520.

The previous prime is 334201984031. The next prime is 334201984037. The reversal of 334201984032 is 230489102433.

It is a super-2 number, since 2×334201984032² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334201984031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142759182 + ... + 142761522.

It is an arithmetic number, because the mean of its divisors is an integer number (5274769500).

Almost surely, 2^334201984032 is an apocalyptic number.

334201984032 is a gapful number since it is divisible by the number (32) 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 334201984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506377872000).

334201984032 is an abundant number, since it is smaller than the sum of its proper divisors (678553759968).

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

334201984032 is a wasteful number, since it uses less digits than its factorization.

334201984032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 334201984032 in words is "three hundred thirty-four billion, two hundred one million, nine hundred eighty-four thousand, thirty-two".