38765820 has 48 divisors (see below), whose sum is σ = 109636128. Its totient is φ = 10233600.

The previous prime is 38765803. The next prime is 38765887. The reversal of 38765820 is 2856783.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2862 + ... + 9258.

It is an arithmetic number, because the mean of its divisors is an integer number (2284086).

Almost surely, 2^38765820 is an apocalyptic number.

38765820 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 38765820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54818064).

38765820 is an abundant number, since it is smaller than the sum of its proper divisors (70870308).

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

38765820 is a wasteful number, since it uses less digits than its factorization.

38765820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 38765820 is about 6226.2203623065. The cubic root of 38765820 is about 338.4410171654.

The spelling of 38765820 in words is "thirty-eight million, seven hundred sixty-five thousand, eight hundred twenty".