38007216 has 120 divisors (see below), whose sum is σ = 116450880. Its totient is φ = 11501568.

The previous prime is 38007191. The next prime is 38007241. The reversal of 38007216 is 61270083.

It is an interprime number because it is at equal distance from previous prime (38007191) and next prime (38007241).

It is a self number, because there is not a number n which added to its sum of digits gives 38007216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147760 + ... + 148016.

It is an arithmetic number, because the mean of its divisors is an integer number (970424).

Almost surely, 2^38007216 is an apocalyptic number.

38007216 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 38007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58225440).

38007216 is an abundant number, since it is smaller than the sum of its proper divisors (78443664).

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

38007216 is a wasteful number, since it uses less digits than its factorization.

38007216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38007216 is about 6164.9992700729. Note that the first 3 decimals coincide. The cubic root of 38007216 is about 336.2188200475.

Adding to 38007216 its reverse (61270083), we get a palindrome (99277299).

The spelling of 38007216 in words is "thirty-eight million, seven thousand, two hundred sixteen".