38766540 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 9903616.

The previous prime is 38766509. The next prime is 38766551. The reversal of 38766540 is 4566783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166264 + ... + 166496.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^38766540 is an apocalyptic number.

38766540 is a gapful number since it is divisible by the number (30) 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 38766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

38766540 is an abundant number, since it is smaller than the sum of its proper divisors (74452020).

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

38766540 is a wasteful number, since it uses less digits than its factorization.

38766540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 38766540 is about 6226.2781820282. The cubic root of 38766540 is about 338.4431124478.

The spelling of 38766540 in words is "thirty-eight million, seven hundred sixty-six thousand, five hundred forty".