338552640 has 336 divisors, whose sum is σ = 1283817600. Its totient is φ = 81506304.

The previous prime is 338552629. The next prime is 338552677. The reversal of 338552640 is 46255833.

It is a happy number.

338552640 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 5 + 2 + 640 = 666.

It is a super-2 number, since 2×338552640² = 229235780101939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338552595 and 338552604.

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 47 ways as a sum of consecutive naturals, for example, 1258426 + ... + 1258694.

Almost surely, 2^338552640 is an apocalyptic number.

338552640 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 338552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

338552640 is an abundant number, since it is smaller than the sum of its proper divisors (945264960).

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

338552640 is a wasteful number, since it uses less digits than its factorization.

338552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 338552640 is about 18399.7999989130. The cubic root of 338552640 is about 696.9614141132.

The spelling of 338552640 in words is "three hundred thirty-eight million, five hundred fifty-two thousand, six hundred forty".