38018016 has 72 divisors (see below), whose sum is σ = 109267704. Its totient is φ = 12537600.

The previous prime is 38018009. The next prime is 38018027. The reversal of 38018016 is 61081083.

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

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, 28435 + ... + 29741.

It is an arithmetic number, because the mean of its divisors is an integer number (1517607).

Almost surely, 2^38018016 is an apocalyptic number.

38018016 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 38018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633852).

38018016 is an abundant number, since it is smaller than the sum of its proper divisors (71249688).

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

38018016 is a wasteful number, since it uses less digits than its factorization.

38018016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 38018016 is about 6165.8751203702. The cubic root of 38018016 is about 336.2506632934.

Adding to 38018016 its reverse (61081083), we get a palindrome (99099099).

The spelling of 38018016 in words is "thirty-eight million, eighteen thousand, sixteen".