38876500 has 48 divisors (see below), whose sum is σ = 91452816. Its totient is φ = 14352000.

The previous prime is 38876491. The next prime is 38876503. The reversal of 38876500 is 567883.

It can be written as a sum of positive squares in 8 ways, for example, as 31225744 + 7650756 = 5588^2 + 2766^2 .

It is a super-2 number, since 2×38876500² = 3022764504500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38876500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38876503) 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 15 ways as a sum of consecutive naturals, for example, 3510 + ... + 9490.

It is an arithmetic number, because the mean of its divisors is an integer number (1905267).

Almost surely, 2^38876500 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 38876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45726408).

38876500 is an abundant number, since it is smaller than the sum of its proper divisors (52576316).

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

38876500 is a wasteful number, since it uses less digits than its factorization.

38876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 38876500 is about 6235.1022445506. The cubic root of 38876500 is about 338.7628045795.

The spelling of 38876500 in words is "thirty-eight million, eight hundred seventy-six thousand, five hundred".