338745888 has 168 divisors, whose sum is σ = 1077781068. Its totient is φ = 104136192.

The previous prime is 338745887. The next prime is 338745923. The reversal of 338745888 is 888547833.

338745888 is a `hidden beast` number, since 33 + 87 + 458 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265950864 + 72795024 = 16308^2 + 8532^2 .

It is a super-2 number, since 2×338745888² = 229497553273817088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (338745887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 302706 + ... + 303822.

Almost surely, 2^338745888 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 338745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538890534).

338745888 is an abundant number, since it is smaller than the sum of its proper divisors (739035180).

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

338745888 is a wasteful number, since it uses less digits than its factorization.

338745888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 338745888 is about 18405.0506111774. The cubic root of 338745888 is about 697.0939988922.

The spelling of 338745888 in words is "three hundred thirty-eight million, seven hundred forty-five thousand, eight hundred eighty-eight".