38767960 has 128 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 11750400.

The previous prime is 38767933. The next prime is 38767969. The reversal of 38767960 is 6976783.

38767960 = T₁ + T₂ + ... + T₆₁₄.

38767960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

38767960 is a nontrivial binomial coefficient, being equal to C(616, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 38767960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38767969) by changing a digit.

It is the 614-th tetrahedral 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 31 ways as a sum of consecutive naturals, for example, 126127 + ... + 126433.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^38767960 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 38767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

38767960 is an abundant number, since it is smaller than the sum of its proper divisors (72999080).

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

38767960 is a wasteful number, since it uses less digits than its factorization.

38767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 38767960 is about 6226.3922137944. The cubic root of 38767960 is about 338.4472447344.

The spelling of 38767960 in words is "thirty-eight million, seven hundred sixty-seven thousand, nine hundred sixty".