338491920 has 320 divisors, whose sum is σ = 1214922240. Its totient is φ = 77316096.

The previous prime is 338491889. The next prime is 338491921. The reversal of 338491920 is 29194833.

It is a super-2 number, since 2×338491920² = 229153559810572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (338491921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3803236 + ... + 3803324.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^338491920 is an apocalyptic number.

338491920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

338491920 is an abundant number, since it is smaller than the sum of its proper divisors (876430320).

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

338491920 is a wasteful number, since it uses less digits than its factorization.

338491920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 338491920 is about 18398.1499069879. The cubic root of 338491920 is about 696.9197445447.

The spelling of 338491920 in words is "three hundred thirty-eight million, four hundred ninety-one thousand, nine hundred twenty".