338105944875384 has 128 divisors (see below), whose sum is σ = 1091544616512000. Its totient is φ = 94964381586432.

The previous prime is 338105944875359. The next prime is 338105944875397. The reversal of 338105944875384 is 483578449501833.

338105944875384 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 0 + 5 + 9 + 4 + 4 + 87 + 538 + 4 = 666.

It is a super-2 number, since 2×338105944875384² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894953529 + ... + 1895131944.

It is an arithmetic number, because the mean of its divisors is an integer number (8527692316500).

Almost surely, 2^{338105944875384} is an apocalyptic number.

It is an amenable number.

338105944875384 is an abundant number, since it is smaller than the sum of its proper divisors (753438671636616).

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

338105944875384 is a wasteful number, since it uses less digits than its factorization.

338105944875384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790085554 (or 3790085544 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 338105944875384 in words is "three hundred thirty-eight trillion, one hundred five billion, nine hundred forty-four million, eight hundred seventy-five thousand, three hundred eighty-four".