338034384 has 140 divisors (see below), whose sum is σ = 997922116. Its totient is φ = 110854656.

The previous prime is 338034383. The next prime is 338034439. The reversal of 338034384 is 483430833.

It can be written as a sum of positive squares in 2 ways, for example, as 209438784 + 128595600 = 14472^2 + 11340^2 .

It is a super-2 number, since 2×338034384² = 228534489532518912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338034383) 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, 851274 + ... + 851670.

Almost surely, 2^338034384 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 338034384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498961058).

338034384 is an abundant number, since it is smaller than the sum of its proper divisors (659887732).

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

338034384 is an equidigital number, since it uses as much as digits as its factorization.

338034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 338034384 is about 18385.7114085912. The cubic root of 338034384 is about 696.6055965738.

The spelling of 338034384 in words is "three hundred thirty-eight million, thirty-four thousand, three hundred eighty-four".