381532032 has 240 divisors, whose sum is σ = 1322568720. Its totient is φ = 108864000.

The previous prime is 381532031. The next prime is 381532051. The reversal of 381532032 is 230235183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 381531987 and 381532005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381532031) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507657 + ... + 508407.

It is an arithmetic number, because the mean of its divisors is an integer number (5510703).

Almost surely, 2^381532032 is an apocalyptic number.

381532032 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 381532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661284360).

381532032 is an abundant number, since it is smaller than the sum of its proper divisors (941036688).

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

381532032 is an equidigital number, since it uses as much as digits as its factorization.

381532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 381532032 is about 19532.8449540767. The cubic root of 381532032 is about 725.2877380268.

The spelling of 381532032 in words is "three hundred eighty-one million, five hundred thirty-two thousand, thirty-two".