334399034880 has 320 divisors, whose sum is σ = 1194420427200. Its totient is φ = 88677089280.

The previous prime is 334399034873. The next prime is 334399034899. The reversal of 334399034880 is 88430993433.

334399034880 is a `hidden beast` number, since 3 + 3 + 439 + 90 + 3 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×334399034880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12497356 + ... + 12524084.

It is an arithmetic number, because the mean of its divisors is an integer number (3732563835).

Almost surely, 2^334399034880 is an apocalyptic number.

334399034880 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 334399034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597210213600).

334399034880 is an abundant number, since it is smaller than the sum of its proper divisors (860021392320).

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

334399034880 is a wasteful number, since it uses less digits than its factorization.

334399034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26942 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 334399034880 in words is "three hundred thirty-four billion, three hundred ninety-nine million, thirty-four thousand, eight hundred eighty".