38821536 has 72 divisors (see below), whose sum is σ = 118902420. Its totient is φ = 11943936.

The previous prime is 38821529. The next prime is 38821537. The reversal of 38821536 is 63512883.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 7952400 = 5556^2 + 2820^2 .

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

It is a super-2 number, since 2×38821536² = 3014223314798592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 38821536.

It is not an unprimeable number, because it can be changed into a prime (38821537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1441 + ... + 8928.

Almost surely, 2^38821536 is an apocalyptic number.

38821536 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 38821536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59451210).

38821536 is an abundant number, since it is smaller than the sum of its proper divisors (80080884).

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

38821536 is a wasteful number, since it uses less digits than its factorization.

38821536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398 (or 10387 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38821536 is about 6230.6930593635. The cubic root of 38821536 is about 338.6030804906.

The spelling of 38821536 in words is "thirty-eight million, eight hundred twenty-one thousand, five hundred thirty-six".