338466078720 has 1152 divisors, whose sum is σ = 1479375555840. Its totient is φ = 70071091200.

The previous prime is 338466078689. The next prime is 338466078721. The reversal of 338466078720 is 27870664833.

338466078720 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 6 + 607 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×338466078720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338466078721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1248952185 + ... + 1248952455.

It is an arithmetic number, because the mean of its divisors is an integer number (1284180170).

Almost surely, 2^338466078720 is an apocalyptic number.

338466078720 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 338466078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739687777920).

338466078720 is an abundant number, since it is smaller than the sum of its proper divisors (1140909477120).

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

338466078720 is a wasteful number, since it uses less digits than its factorization.

338466078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 338466078720 in words is "three hundred thirty-eight billion, four hundred sixty-six million, seventy-eight thousand, seven hundred twenty".