38516632 has 64 divisors (see below), whose sum is σ = 92989440. Its totient is φ = 14515200.

The previous prime is 38516623. The next prime is 38516659. The reversal of 38516632 is 23661583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18088 + ... + 20104.

It is an arithmetic number, because the mean of its divisors is an integer number (1452960).

Almost surely, 2^38516632 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 38516632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494720).

38516632 is an abundant number, since it is smaller than the sum of its proper divisors (54472808).

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

38516632 is a wasteful number, since it uses less digits than its factorization.

38516632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 38516632 is about 6206.1769230340. The cubic root of 38516632 is about 337.7142876911.

The spelling of 38516632 in words is "thirty-eight million, five hundred sixteen thousand, six hundred thirty-two".