338126048 has 48 divisors (see below), whose sum is σ = 718794720. Its totient is φ = 155644416.

The previous prime is 338126029. The next prime is 338126053. The reversal of 338126048 is 840621833.

It is a happy number.

It is a super-2 number, since 2×338126048² = 228658448672196608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338125999 and 338126017.

It is a congruent number.

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, 201758 + ... + 203426.

It is an arithmetic number, because the mean of its divisors is an integer number (14974890).

Almost surely, 2^338126048 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 338126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359397360).

338126048 is an abundant number, since it is smaller than the sum of its proper divisors (380668672).

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

338126048 is a wasteful number, since it uses less digits than its factorization.

338126048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 338126048 is about 18388.2040449849. The cubic root of 338126048 is about 696.6685565247.

It can be divided in two parts, 33812 and 6048, that multiplied together give a triangular number (204494976 = T₂₀₂₂₃).

The spelling of 338126048 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, forty-eight".