38846016 has 84 divisors (see below), whose sum is σ = 121487184. Its totient is φ = 11769600.

The previous prime is 38846009. The next prime is 38846083. The reversal of 38846016 is 61064883.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3271 + ... + 9401.

It is an arithmetic number, because the mean of its divisors is an integer number (1446276).

Almost surely, 2^38846016 is an apocalyptic number.

38846016 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 38846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60743592).

38846016 is an abundant number, since it is smaller than the sum of its proper divisors (82641168).

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

38846016 is a wasteful number, since it uses less digits than its factorization.

38846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6147 counting only the distinct ones).

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

The square root of 38846016 is about 6232.6572182336. The cubic root of 38846016 is about 338.6742374015.

The spelling of 38846016 in words is "thirty-eight million, eight hundred forty-six thousand, sixteen".