338023072 has 72 divisors (see below), whose sum is σ = 727290900. Its totient is φ = 154441728.

The previous prime is 338023051. The next prime is 338023079. The reversal of 338023072 is 270320833.

It can be written as a sum of positive squares in 2 ways, for example, as 335475856 + 2547216 = 18316^2 + 1596^2 .

It is a super-2 number, since 2×338023072² = 228519194408634368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338023072.

It is not an unprimeable number, because it can be changed into a prime (338023079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334504 + ... + 335512.

Almost surely, 2^338023072 is an apocalyptic number.

338023072 is a gapful number since it is divisible by the number (32) 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 338023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363645450).

338023072 is an abundant number, since it is smaller than the sum of its proper divisors (389267828).

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

338023072 is a wasteful number, since it uses less digits than its factorization.

338023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 338023072 is about 18385.4037758217. The cubic root of 338023072 is about 696.5978260720.

The spelling of 338023072 in words is "three hundred thirty-eight million, twenty-three thousand, seventy-two".