338226730380 has 384 divisors, whose sum is σ = 1314682306560. Its totient is φ = 70132366080.

The previous prime is 338226730351. The next prime is 338226730423. The reversal of 338226730380 is 83037622833.

338226730380 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 267 + 3 + 0 + 380 = 666.

It is a super-2 number, since 2×338226730380² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20241109 + ... + 20257811.

It is an arithmetic number, because the mean of its divisors is an integer number (3423651840).

Almost surely, 2^338226730380 is an apocalyptic number.

338226730380 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 338226730380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657341153280).

338226730380 is an abundant number, since it is smaller than the sum of its proper divisors (976455576180).

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

338226730380 is a wasteful number, since it uses less digits than its factorization.

338226730380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226 (or 17218 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

It can be divided in two parts, 3382 and 26730380, that added together give a palindrome (26733762).

The spelling of 338226730380 in words is "three hundred thirty-eight billion, two hundred twenty-six million, seven hundred thirty thousand, three hundred eighty".