38813000 has 64 divisors (see below), whose sum is σ = 93366000. Its totient is φ = 15091200.

The previous prime is 38812999. The next prime is 38813009. The reversal of 38813000 is 31883.

It can be written as a sum of positive squares in 8 ways, for example, as 14032516 + 24780484 = 3746^2 + 4978^2 .

It is not an unprimeable number, because it can be changed into a prime (38813009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36476 + ... + 37524.

Almost surely, 2^38813000 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 38813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683000).

38813000 is an abundant number, since it is smaller than the sum of its proper divisors (54553000).

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

38813000 is a wasteful number, since it uses less digits than its factorization.

38813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 38813000 is about 6230.0080256770. The cubic root of 38813000 is about 338.5782615536.

Adding to 38813000 its reverse (31883), we get a palindrome (38844883).

The spelling of 38813000 in words is "thirty-eight million, eight hundred thirteen thousand".