338330797272 has 192 divisors, whose sum is σ = 1030288896000. Its totient is φ = 99518918400.

The previous prime is 338330797253. The next prime is 338330797289. The reversal of 338330797272 is 272797033833.

338330797272 is a `hidden beast` number, since 3 + 38 + 330 + 7 + 9 + 7 + 272 = 666.

It is a super-2 number, since 2×338330797272² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51642397 + ... + 51648947.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088000).

Almost surely, 2^338330797272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338330797272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448000).

338330797272 is an abundant number, since it is smaller than the sum of its proper divisors (691958098728).

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

338330797272 is a wasteful number, since it uses less digits than its factorization.

338330797272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 338330797272 in words is "three hundred thirty-eight billion, three hundred thirty million, seven hundred ninety-seven thousand, two hundred seventy-two".