388681272 has 96 divisors (see below), whose sum is σ = 1205923680. Its totient is φ = 110787840.

The previous prime is 388681253. The next prime is 388681333. The reversal of 388681272 is 272186883.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328522 + ... + 329702.

It is an arithmetic number, because the mean of its divisors is an integer number (12561705).

Almost surely, 2^388681272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388681272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602961840).

388681272 is an abundant number, since it is smaller than the sum of its proper divisors (817242408).

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

388681272 is a wasteful number, since it uses less digits than its factorization.

388681272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 388681272 is about 19715.0011919858. The cubic root of 388681272 is about 729.7899389342.

It can be divided in two parts, 3886 and 81272, that added together give a palindrome (85158).

The spelling of 388681272 in words is "three hundred eighty-eight million, six hundred eighty-one thousand, two hundred seventy-two".