338772672 has 168 divisors, whose sum is σ = 1158819120. Its totient is φ = 96768000.

The previous prime is 338772671. The next prime is 338772673. The reversal of 338772672 is 276277833.

338772672 is a `hidden beast` number, since 3 + 387 + 7 + 267 + 2 = 666.

338772672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338772671) and next prime (338772673).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×338772672² = 229533846588039168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (338772671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82672 + ... + 86672.

Almost surely, 2^338772672 is an apocalyptic number.

338772672 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 338772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579409560).

338772672 is an abundant number, since it is smaller than the sum of its proper divisors (820046448).

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

338772672 is a wasteful number, since it uses less digits than its factorization.

338772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4013 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 338772672 is about 18405.7782231559. The cubic root of 338772672 is about 697.1123710450.

The spelling of 338772672 in words is "three hundred thirty-eight million, seven hundred seventy-two thousand, six hundred seventy-two".