38642472 has 96 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 11566080.

The previous prime is 38642453. The next prime is 38642473. The reversal of 38642472 is 27424683.

38642472 is a `hidden beast` number, since 3 + 8 + 642 + 4 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38642473) 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 23 ways as a sum of consecutive naturals, for example, 76573 + ... + 77075.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^38642472 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 38642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

38642472 is an abundant number, since it is smaller than the sum of its proper divisors (76934808).

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

38642472 is a wasteful number, since it uses less digits than its factorization.

38642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 38642472 is about 6216.3069422286. The cubic root of 38642472 is about 338.0816767473.

It can be divided in two parts, 3864 and 2472, that added together give a palindrome (6336).

The spelling of 38642472 in words is "thirty-eight million, six hundred forty-two thousand, four hundred seventy-two".