38765880 has 96 divisors (see below), whose sum is σ = 126781200. Its totient is φ = 10272768.

The previous prime is 38765803. The next prime is 38765887. The reversal of 38765880 is 8856783.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38765887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92311 + ... + 92729.

Almost surely, 2^38765880 is an apocalyptic number.

38765880 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 38765880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63390600).

38765880 is an abundant number, since it is smaller than the sum of its proper divisors (88015320).

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

38765880 is a wasteful number, since it uses less digits than its factorization.

38765880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38765880 is about 6226.2251806371. The cubic root of 38765880 is about 338.4411917733.

The spelling of 38765880 in words is "thirty-eight million, seven hundred sixty-five thousand, eight hundred eighty".