338881842 has 72 divisors (see below), whose sum is σ = 841966164. Its totient is φ = 98122752.

The previous prime is 338881811. The next prime is 338881867. The reversal of 338881842 is 248188833.

It can be written as a sum of positive squares in 6 ways, for example, as 66928761 + 271953081 = 8181^2 + 16491^2 .

It is a super-2 number, since 2×338881842² = 229681805674625928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48438 + ... + 54990.

Almost surely, 2^338881842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338881842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420983082).

338881842 is an abundant number, since it is smaller than the sum of its proper divisors (503084322).

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

338881842 is a wasteful number, since it uses less digits than its factorization.

338881842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6588 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 338881842 is about 18408.7436290476. The cubic root of 338881842 is about 697.1872448374.

The spelling of 338881842 in words is "three hundred thirty-eight million, eight hundred eighty-one thousand, eight hundred forty-two".