383852672 has 80 divisors (see below), whose sum is σ = 892818750. Its totient is φ = 164376576.

The previous prime is 383852669. The next prime is 383852719. The reversal of 383852672 is 276258383.

It can be written as a sum of positive squares in only one way, i.e., 339443776 + 44408896 = 18424^2 + 6664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 306704 + ... + 307952.

Almost surely, 2^383852672 is an apocalyptic number.

383852672 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 383852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446409375).

383852672 is an abundant number, since it is smaller than the sum of its proper divisors (508966078).

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

383852672 is an frugal number, since it uses more digits than its factorization.

383852672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1258 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 383852672 is about 19592.1584313725. The cubic root of 383852672 is about 726.7552694289.

The spelling of 383852672 in words is "three hundred eighty-three million, eight hundred fifty-two thousand, six hundred seventy-two".