338748120 has 96 divisors (see below), whose sum is σ = 1165713120. Its totient is φ = 85017600.

The previous prime is 338748119. The next prime is 338748121. The reversal of 338748120 is 21847833.

338748120 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 (338748119) and next prime (338748121).

It is a super-3 number, since 3×338748120³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338748121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21556 + ... + 33795.

It is an arithmetic number, because the mean of its divisors is an integer number (12142845).

Almost surely, 2^338748120 is an apocalyptic number.

338748120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338748120 is an abundant number, since it is smaller than the sum of its proper divisors (826965000).

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

338748120 is a wasteful number, since it uses less digits than its factorization.

338748120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55385 (or 55378 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 338748120 is about 18405.1112466076. Note that the first 3 decimals coincide. The cubic root of 338748120 is about 697.0955299420.

The spelling of 338748120 in words is "three hundred thirty-eight million, seven hundred forty-eight thousand, one hundred twenty".