338760360 has 128 divisors (see below), whose sum is σ = 1195689600. Its totient is φ = 85017600.

The previous prime is 338760341. The next prime is 338760361. The reversal of 338760360 is 63067833.

It is a super-2 number, since 2×338760360² = 229517163014659200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338760361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9135 + ... + 27585.

It is an arithmetic number, because the mean of its divisors is an integer number (9341325).

Almost surely, 2^338760360 is an apocalyptic number.

338760360 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 338760360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597844800).

338760360 is an abundant number, since it is smaller than the sum of its proper divisors (856929240).

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

338760360 is a wasteful number, since it uses less digits than its factorization.

338760360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18488 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 338760360 is about 18405.4437599315. The cubic root of 338760360 is about 697.1039259015.

The spelling of 338760360 in words is "three hundred thirty-eight million, seven hundred sixty thousand, three hundred sixty".