334093072806840 has 256 divisors, whose sum is σ = 1062158505408000. Its totient is φ = 83778009251840.

The previous prime is 334093072806719. The next prime is 334093072806859. The reversal of 334093072806840 is 48608270390433.

It is a super-2 number, since 2×334093072806840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26644309291 + ... + 26644321829.

It is an arithmetic number, because the mean of its divisors is an integer number (4149056661750).

Almost surely, 2^{334093072806840} is an apocalyptic number.

334093072806840 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 334093072806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531079252704000).

334093072806840 is an abundant number, since it is smaller than the sum of its proper divisors (728065432601160).

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

334093072806840 is a wasteful number, since it uses less digits than its factorization.

334093072806840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22870 (or 22866 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 334093072806840 in words is "three hundred thirty-four trillion, ninety-three billion, seventy-two million, eight hundred six thousand, eight hundred forty".