38862900 has 108 divisors (see below), whose sum is σ = 126098700. Its totient is φ = 9999360.

The previous prime is 38862797. The next prime is 38862907. The reversal of 38862900 is 926883.

It can be written as a sum of positive squares in 6 ways, for example, as 3006756 + 35856144 = 1734^2 + 5988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38862907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25356 + ... + 26844.

Almost surely, 2^38862900 is an apocalyptic number.

38862900 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 38862900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63049350).

38862900 is an abundant number, since it is smaller than the sum of its proper divisors (87235800).

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

38862900 is a wasteful number, since it uses less digits than its factorization.

38862900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38862900 is about 6234.0115495562. The cubic root of 38862900 is about 338.7232973237.

It can be divided in two parts, 3886 and 2900, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 38862900 in words is "thirty-eight million, eight hundred sixty-two thousand, nine hundred".