38467872 has 168 divisors, whose sum is σ = 121467276. Its totient is φ = 11943936.

The previous prime is 38467853. The next prime is 38467873. The reversal of 38467872 is 27876483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 571536 = 6156^2 + 756^2 .

It is not an unprimeable number, because it can be changed into a prime (38467873) 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 27 ways as a sum of consecutive naturals, for example, 396528 + ... + 396624.

Almost surely, 2^38467872 is an apocalyptic number.

38467872 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 38467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60733638).

38467872 is an abundant number, since it is smaller than the sum of its proper divisors (82999404).

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

38467872 is an equidigital number, since it uses as much as digits as its factorization.

38467872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 38467872 is about 6202.2473346361. The cubic root of 38467872 is about 337.5717180923.

The spelling of 38467872 in words is "thirty-eight million, four hundred sixty-seven thousand, eight hundred seventy-two".