338025960 has 360 divisors, whose sum is σ = 1273770630. Its totient is φ = 80372736.

The previous prime is 338025937. The next prime is 338025971. The reversal of 338025960 is 69520833.

338025960 = 247³ + 248³ + ... + 266³.

It can be written as a sum of positive squares in 3 ways, for example, as 328551876 + 9474084 = 18126^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×338025960² = 228523099267843200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17790831 + ... + 17790849.

Almost surely, 2^338025960 is an apocalyptic number.

338025960 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 338025960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636885315).

338025960 is an abundant number, since it is smaller than the sum of its proper divisors (935744670).

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

338025960 is a wasteful number, since it uses less digits than its factorization.

338025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 338025960 is about 18385.4823162190. The cubic root of 338025960 is about 696.5998099295.

The spelling of 338025960 in words is "three hundred thirty-eight million, twenty-five thousand, nine hundred sixty".