338841120 has 48 divisors (see below), whose sum is σ = 1067351040. Its totient is φ = 90357504.

The previous prime is 338841103. The next prime is 338841149. The reversal of 338841120 is 21148833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338841120² = 229626609205708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352480 + ... + 353439.

It is an arithmetic number, because the mean of its divisors is an integer number (22236480).

Almost surely, 2^338841120 is an apocalyptic number.

338841120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338841120 is an abundant number, since it is smaller than the sum of its proper divisors (728509920).

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

338841120 is a wasteful number, since it uses less digits than its factorization.

338841120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705937 (or 705929 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 338841120 is about 18407.6375453234. The cubic root of 338841120 is about 697.1593177030.

Adding to 338841120 its reverse (21148833), we get a palindrome (359989953).

The spelling of 338841120 in words is "three hundred thirty-eight million, eight hundred forty-one thousand, one hundred twenty".