38727264 has 48 divisors (see below), whose sum is σ = 102619440. Its totient is φ = 12787200.

The previous prime is 38727233. The next prime is 38727313. The reversal of 38727264 is 46272783.

38727264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8614 + ... + 12314.

It is an arithmetic number, because the mean of its divisors is an integer number (2137905).

Almost surely, 2^38727264 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 38727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51309720).

38727264 is an abundant number, since it is smaller than the sum of its proper divisors (63892176).

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

38727264 is a wasteful number, since it uses less digits than its factorization.

38727264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3815 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 38727264 is about 6223.1233315756. The cubic root of 38727264 is about 338.3287768779.

The spelling of 38727264 in words is "thirty-eight million, seven hundred twenty-seven thousand, two hundred sixty-four".