38281632 has 48 divisors (see below), whose sum is σ = 101549952. Its totient is φ = 12625920.

The previous prime is 38281627. The next prime is 38281651. The reversal of 38281632 is 23618283.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 38281593 and 38281602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7257 + ... + 11367.

It is an arithmetic number, because the mean of its divisors is an integer number (2115624).

Almost surely, 2^38281632 is an apocalyptic number.

38281632 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 38281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50774976).

38281632 is an abundant number, since it is smaller than the sum of its proper divisors (63268320).

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

38281632 is a wasteful number, since it uses less digits than its factorization.

38281632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4213 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 38281632 is about 6187.2152055670. The cubic root of 38281632 is about 337.0260585003.

It can be divided in two parts, 3828 and 1632, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 38281632 in words is "thirty-eight million, two hundred eighty-one thousand, six hundred thirty-two".