38545472 has 56 divisors (see below), whose sum is σ = 88416384. Its totient is φ = 16330752.

The previous prime is 38545439. The next prime is 38545483. The reversal of 38545472 is 27454583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43013 + ... + 43899.

It is an arithmetic number, because the mean of its divisors is an integer number (1578864).

Almost surely, 2^38545472 is an apocalyptic number.

38545472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 6208×6209.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44208192).

38545472 is an abundant number, since it is smaller than the sum of its proper divisors (49870912).

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

38545472 is an equidigital number, since it uses as much as digits as its factorization.

38545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 38545472 is about 6208.4999798663. The cubic root of 38545472 is about 337.7985564831.

The spelling of 38545472 in words is "thirty-eight million, five hundred forty-five thousand, four hundred seventy-two".