334631011728 has 160 divisors (see below), whose sum is σ = 980836111360. Its totient is φ = 97456919040.

The previous prime is 334631011723. The next prime is 334631011739. The reversal of 334631011728 is 827110136433.

It is a Cunningham number, because it is equal to 578473²-1.

It is a super-2 number, since 2×334631011728² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (334631011723) 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, 13871325 + ... + 13895427.

It is an arithmetic number, because the mean of its divisors is an integer number (6130225696).

Almost surely, 2^334631011728 is an apocalyptic number.

334631011728 is a gapful number since it is divisible by the number (38) 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 334631011728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490418055680).

334631011728 is an abundant number, since it is smaller than the sum of its proper divisors (646205099632).

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

334631011728 is a wasteful number, since it uses less digits than its factorization.

334631011728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25317 (or 25311 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 334631011728 in words is "three hundred thirty-four billion, six hundred thirty-one million, eleven thousand, seven hundred twenty-eight".