38553216 has 64 divisors (see below), whose sum is σ = 110298720. Its totient is φ = 11860992.

The previous prime is 38553211. The next prime is 38553217. The reversal of 38553216 is 61235583.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (38553211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 8853.

Almost surely, 2^38553216 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 38553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55149360).

38553216 is an abundant number, since it is smaller than the sum of its proper divisors (71745504).

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

38553216 is a wasteful number, since it uses less digits than its factorization.

38553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7741 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 38553216 is about 6209.1236096570. The cubic root of 38553216 is about 337.8211768388.

Adding to 38553216 its reverse (61235583), we get a palindrome (99788799).

The spelling of 38553216 in words is "thirty-eight million, five hundred fifty-three thousand, two hundred sixteen".