338031360 has 144 divisors (see below), whose sum is σ = 1199664480. Its totient is φ = 90132480.

The previous prime is 338031359. The next prime is 338031367. The reversal of 338031360 is 63130833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338031360² = 228530400686899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (338031367) 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 15 ways as a sum of consecutive naturals, for example, 29670 + ... + 39450.

Almost surely, 2^338031360 is an apocalyptic number.

338031360 is a gapful number since it is divisible by the number (30) 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 338031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599832240).

338031360 is an abundant number, since it is smaller than the sum of its proper divisors (861633120).

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

338031360 is an equidigital number, since it uses as much as digits as its factorization.

338031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 338031360 is about 18385.6291706322. The cubic root of 338031360 is about 696.6035193279.

The spelling of 338031360 in words is "three hundred thirty-eight million, thirty-one thousand, three hundred sixty".