38016864 has 72 divisors (see below), whose sum is σ = 112137480. Its totient is φ = 12669696.

The previous prime is 38016851. The next prime is 38016887. The reversal of 38016864 is 46861083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 5332 + ... + 10220.

It is an arithmetic number, because the mean of its divisors is an integer number (1557465).

Almost surely, 2^38016864 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 38016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56068740).

38016864 is an abundant number, since it is smaller than the sum of its proper divisors (74120616).

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

38016864 is an equidigital number, since it uses as much as digits as its factorization.

38016864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4894 counting only the distinct ones).

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

The square root of 38016864 is about 6165.7817022661. The cubic root of 38016864 is about 336.2472669678.

The spelling of 38016864 in words is "thirty-eight million, sixteen thousand, eight hundred sixty-four".