38529216 has 112 divisors (see below), whose sum is σ = 123626880. Its totient is φ = 11669760.

The previous prime is 38529193. The next prime is 38529229. The reversal of 38529216 is 61292583.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17995 + ... + 20021.

Almost surely, 2^38529216 is an apocalyptic number.

38529216 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 38529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

38529216 is an abundant number, since it is smaller than the sum of its proper divisors (85097664).

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

38529216 is a wasteful number, since it uses less digits than its factorization.

38529216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2043 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 38529216 is about 6207.1906688936. The cubic root of 38529216 is about 337.7510625737.

The spelling of 38529216 in words is "thirty-eight million, five hundred twenty-nine thousand, two hundred sixteen".