338541888 has 56 divisors (see below), whose sum is σ = 909128992. Its totient is φ = 111158784.

The previous prime is 338541877. The next prime is 338541919. The reversal of 338541888 is 888145833.

It is a super-2 number, since 2×338541888² = 229221219861209088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 295 + ... + 26022.

Almost surely, 2^338541888 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 338541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454564496).

338541888 is an abundant number, since it is smaller than the sum of its proper divisors (570587104).

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

338541888 is a wasteful number, since it uses less digits than its factorization.

338541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26399 (or 26389 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 338541888 is about 18399.5078195043. The cubic root of 338541888 is about 696.9540358333.

The spelling of 338541888 in words is "three hundred thirty-eight million, five hundred forty-one thousand, eight hundred eighty-eight".