338948544 has 168 divisors, whose sum is σ = 1016959104. Its totient is φ = 98803200.

The previous prime is 338948521. The next prime is 338948573. The reversal of 338948544 is 445849833.

It is a super-2 number, since 2×338948544² = 229772230959439872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 338948493 and 338948502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029549 + ... + 2029715.

It is an arithmetic number, because the mean of its divisors is an integer number (6053328).

Almost surely, 2^338948544 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 338948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508479552).

338948544 is an abundant number, since it is smaller than the sum of its proper divisors (678010560).

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

338948544 is a wasteful number, since it uses less digits than its factorization.

338948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 338948544 is about 18410.5552333437. Note that the first 3 decimals coincide. The cubic root of 338948544 is about 697.2329842143.

The spelling of 338948544 in words is "three hundred thirty-eight million, nine hundred forty-eight thousand, five hundred forty-four".