338360832 has 120 divisors (see below), whose sum is σ = 987902916. Its totient is φ = 111476736.

The previous prime is 338360831. The next prime is 338360833. The reversal of 338360832 is 238063833.

338360832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338360831) and next prime (338360833).

It can be written as a sum of positive squares in 2 ways, for example, as 337971456 + 389376 = 18384^2 + 624^2 .

It is a super-2 number, since 2×338360832² = 228976105263464448, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (338360831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446598 + ... + 447354.

Almost surely, 2^338360832 is an apocalyptic number.

338360832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493951458).

338360832 is an abundant number, since it is smaller than the sum of its proper divisors (649542084).

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

338360832 is an equidigital number, since it uses as much as digits as its factorization.

338360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 338360832 is about 18394.5870298846. The cubic root of 338360832 is about 696.8297673980.

The spelling of 338360832 in words is "three hundred thirty-eight million, three hundred sixty thousand, eight hundred thirty-two".