38636416 has 128 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 14653440.

The previous prime is 38636387. The next prime is 38636419. The reversal of 38636416 is 61463683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38636419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361035 + ... + 361141.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^38636416 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 38636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

38636416 is an abundant number, since it is smaller than the sum of its proper divisors (60066944).

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

38636416 is a wasteful number, since it uses less digits than its factorization.

38636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 38636416 is about 6215.8198172083. The cubic root of 38636416 is about 338.0640145784.

The spelling of 38636416 in words is "thirty-eight million, six hundred thirty-six thousand, four hundred sixteen".