38716832 has 96 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 14273280.

The previous prime is 38716831. The next prime is 38716841. The reversal of 38716832 is 23861783.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (38716831) by changing a digit.

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, 46403 + ... + 47229.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^38716832 is an apocalyptic number.

38716832 is a gapful number since it is divisible by the number (32) 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 38716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

38716832 is an abundant number, since it is smaller than the sum of its proper divisors (61438048).

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

38716832 is a wasteful number, since it uses less digits than its factorization.

38716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 38716832 is about 6222.2851107933. The cubic root of 38716832 is about 338.2983955014.

The spelling of 38716832 in words is "thirty-eight million, seven hundred sixteen thousand, eight hundred thirty-two".