338127048 has 240 divisors, whose sum is σ = 1152074880. Its totient is φ = 92207808.

The previous prime is 338127043. The next prime is 338127067. The reversal of 338127048 is 840721833.

338127048 is a `hidden beast` number, since 3 + 381 + 270 + 4 + 8 = 666.

It is a super-2 number, since 2×338127048² = 228659801178388608, 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 (338127043) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 730065 + ... + 730527.

It is an arithmetic number, because the mean of its divisors is an integer number (4800312).

Almost surely, 2^338127048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338127048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576037440).

338127048 is an abundant number, since it is smaller than the sum of its proper divisors (813947832).

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

338127048 is a wasteful number, since it uses less digits than its factorization.

338127048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

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

The square root of 338127048 is about 18388.2312363098. The cubic root of 338127048 is about 696.6692433177.

The spelling of 338127048 in words is "three hundred thirty-eight million, one hundred twenty-seven thousand, forty-eight".