338651280 has 200 divisors, whose sum is σ = 1283382144. Its totient is φ = 82080000.

The previous prime is 338651279. The next prime is 338651293. The reversal of 338651280 is 82156833.

It is a super-2 number, since 2×338651280² = 229369378891276800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68905 + ... + 73655.

Almost surely, 2^338651280 is an apocalyptic number.

338651280 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 338651280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641691072).

338651280 is an abundant number, since it is smaller than the sum of its proper divisors (944730864).

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

338651280 is a wasteful number, since it uses less digits than its factorization.

338651280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 338651280 is about 18402.4802676161. The cubic root of 338651280 is about 697.0290959546.

The spelling of 338651280 in words is "three hundred thirty-eight million, six hundred fifty-one thousand, two hundred eighty".