38541216 has 96 divisors (see below), whose sum is σ = 117186048. Its totient is φ = 10863360.

The previous prime is 38541199. The next prime is 38541233. The reversal of 38541216 is 61214583.

It is an interprime number because it is at equal distance from previous prime (38541199) and next prime (38541233).

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55431 + ... + 56121.

It is an arithmetic number, because the mean of its divisors is an integer number (1220688).

Almost surely, 2^38541216 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 38541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58593024).

38541216 is an abundant number, since it is smaller than the sum of its proper divisors (78644832).

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

38541216 is a wasteful number, since it uses less digits than its factorization.

38541216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 38541216 is about 6208.1572145042. The cubic root of 38541216 is about 337.7861233446.

Adding to 38541216 its reverse (61214583), we get a palindrome (99755799).

The spelling of 38541216 in words is "thirty-eight million, five hundred forty-one thousand, two hundred sixteen".