38582016 has 72 divisors (see below), whose sum is σ = 112043904. Its totient is φ = 11688960.

The previous prime is 38582003. The next prime is 38582053. The reversal of 38582016 is 61028583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6165 + ... + 10731.

Almost surely, 2^38582016 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 38582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56021952).

38582016 is an abundant number, since it is smaller than the sum of its proper divisors (73461888).

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

38582016 is a wasteful number, since it uses less digits than its factorization.

38582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 38582016 is about 6211.4423445767. The cubic root of 38582016 is about 337.9052755579.

The spelling of 38582016 in words is "thirty-eight million, five hundred eighty-two thousand, sixteen".