338103360 has 336 divisors, whose sum is σ = 1374477312. Its totient is φ = 74649600.

The previous prime is 338103341. The next prime is 338103379. The reversal of 338103360 is 63301833.

It is an interprime number because it is at equal distance from previous prime (338103341) and next prime (338103379).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×338103360² = 228627764086579200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624690 + ... + 625230.

Almost surely, 2^338103360 is an apocalyptic number.

338103360 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 338103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687238656).

338103360 is an abundant number, since it is smaller than the sum of its proper divisors (1036373952).

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

338103360 is a wasteful number, since it uses less digits than its factorization.

338103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

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

The square root of 338103360 is about 18387.5871174007. The cubic root of 338103360 is about 696.6529741998.

The spelling of 338103360 in words is "three hundred thirty-eight million, one hundred three thousand, three hundred sixty".