334428569160 has 768 divisors, whose sum is σ = 1289746022400. Its totient is φ = 68889139200.

The previous prime is 334428569143. The next prime is 334428569161. The reversal of 334428569160 is 61965824433.

It is a super-2 number, since 2×334428569160² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334428569161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211261729 + ... + 211263311.

It is an arithmetic number, because the mean of its divisors is an integer number (1679356800).

Almost surely, 2^334428569160 is an apocalyptic number.

334428569160 is a gapful number since it is divisible by the number (30) 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 334428569160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644873011200).

334428569160 is an abundant number, since it is smaller than the sum of its proper divisors (955317453240).

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

334428569160 is a wasteful number, since it uses less digits than its factorization.

334428569160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 334428569160 in words is "three hundred thirty-four billion, four hundred twenty-eight million, five hundred sixty-nine thousand, one hundred sixty".