38657472 has 112 divisors (see below), whose sum is σ = 119481600. Its totient is φ = 11026176.

The previous prime is 38657467. The next prime is 38657477. The reversal of 38657472 is 27475683.

38657472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38657467) and next prime (38657477).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38657477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65563 + ... + 66149.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 2^38657472 is an apocalyptic number.

38657472 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 38657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

38657472 is an abundant number, since it is smaller than the sum of its proper divisors (80824128).

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

38657472 is an equidigital number, since it uses as much as digits as its factorization.

38657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 38657472 is about 6217.5133292981. The cubic root of 38657472 is about 338.1254159188.

The spelling of 38657472 in words is "thirty-eight million, six hundred fifty-seven thousand, four hundred seventy-two".