38767752 has 96 divisors (see below), whose sum is σ = 117093600. Its totient is φ = 11515392.

The previous prime is 38767721. The next prime is 38767753. The reversal of 38767752 is 25776783.

Its product of digits (493920) is a multiple of the sum of its prime factors (1715).

It is a junction number, because it is equal to n+sod(n) for n = 38767698 and 38767707.

It is not an unprimeable number, because it can be changed into a prime (38767753) 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, 22423 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (1219725).

Almost surely, 2^38767752 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 38767752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58546800).

38767752 is an abundant number, since it is smaller than the sum of its proper divisors (78325848).

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

38767752 is a wasteful number, since it uses less digits than its factorization.

38767752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 38767752 is about 6226.3755106804. The cubic root of 38767752 is about 338.4466394480.

It can be divided in two parts, 3876 and 7752, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 38767752 in words is "thirty-eight million, seven hundred sixty-seven thousand, seven hundred fifty-two".