338232672 has 132 divisors (see below), whose sum is σ = 1004417820. Its totient is φ = 112114368.

The previous prime is 338232667. The next prime is 338232677. The reversal of 338232672 is 276232833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338232667) and next prime (338232677).

It is a super-2 number, since 2×338232672² = 228802680816519168, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338232677) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 1889479 + ... + 1889657.

Almost surely, 2^338232672 is an apocalyptic number.

338232672 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 338232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502208910).

338232672 is an abundant number, since it is smaller than the sum of its proper divisors (666185148).

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

338232672 is an frugal number, since it uses more digits than its factorization.

338232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 338232672 is about 18391.1030664286. The cubic root of 338232672 is about 696.7417775242.

The spelling of 338232672 in words is "three hundred thirty-eight million, two hundred thirty-two thousand, six hundred seventy-two".