334240002270720 has 12800 divisors, whose sum is σ = 1782361121587200. Its totient is φ = 57789539942400.

The previous prime is 334240002270667. The next prime is 334240002270721. The reversal of 334240002270720 is 27072200042433.

334240002270720 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 400 + 0 + 227 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×334240002270720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334240002270721) by changing a digit.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 5479344299490 + ... + 5479344299550.

It is an arithmetic number, because the mean of its divisors is an integer number (139246962624).

Almost surely, 2^{334240002270720} is an apocalyptic number.

334240002270720 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 334240002270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891180560793600).

334240002270720 is an abundant number, since it is smaller than the sum of its proper divisors (1448121119316480).

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

334240002270720 is a wasteful number, since it uses less digits than its factorization.

334240002270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 334240002270720 in words is "three hundred thirty-four trillion, two hundred forty billion, two million, two hundred seventy thousand, seven hundred twenty".