338931648 has 168 divisors, whose sum is σ = 1095888080. Its totient is φ = 102643200.

The previous prime is 338931629. The next prime is 338931653. The reversal of 338931648 is 846139833.

It is a super-2 number, since 2×338931648² = 229749324031991808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208278 + ... + 209898.

Almost surely, 2^338931648 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 338931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547944040).

338931648 is an abundant number, since it is smaller than the sum of its proper divisors (756956432).

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

338931648 is a wasteful number, since it uses less digits than its factorization.

338931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1637 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 338931648 is about 18410.0963604214. The cubic root of 338931648 is about 697.2213987347.

The spelling of 338931648 in words is "three hundred thirty-eight million, nine hundred thirty-one thousand, six hundred forty-eight".