38638800 has 90 divisors (see below), whose sum is σ = 134099862. Its totient is φ = 10302720.

The previous prime is 38638783. The next prime is 38638823. The reversal of 38638800 is 883683.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 38638656 = 12^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1767 + ... + 8966.

Almost surely, 2^38638800 is an apocalyptic number.

38638800 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 38638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67049931).

38638800 is an abundant number, since it is smaller than the sum of its proper divisors (95461062).

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

38638800 is a wasteful number, since it uses less digits than its factorization.

38638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38638800 is about 6216.0115830008. The cubic root of 38638800 is about 338.0709676736.

It can be divided in two parts, 3 and 8638800, that multiplied together give a triangular number (25916400 = T₇₁₉₉).

The spelling of 38638800 in words is "thirty-eight million, six hundred thirty-eight thousand, eight hundred".