38486016 has 150 divisors (see below), whose sum is σ = 118944210. Its totient is φ = 12386304.

The previous prime is 38485991. The next prime is 38486027. The reversal of 38486016 is 61068483.

It is a happy number.

38486016 is a `hidden beast` number, since 3 + 8 + 48 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 5308416 = 5760^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1327090 + ... + 1327118.

Almost surely, 2^38486016 is an apocalyptic number.

38486016 is a gapful number since it is divisible by the number (36) 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 38486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59472105).

38486016 is an abundant number, since it is smaller than the sum of its proper divisors (80458194).

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

38486016 is an frugal number, since it uses more digits than its factorization.

38486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38486016 is about 6203.7098578189. The cubic root of 38486016 is about 337.6247834879.

The spelling of 38486016 in words is "thirty-eight million, four hundred eighty-six thousand, sixteen".