38670800 has 90 divisors (see below), whose sum is σ = 108129798. Its totient is φ = 13251840.

The previous prime is 38670791. The next prime is 38670811. The reversal of 38670800 is 807683.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 38291344 = 616^2 + 6188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18614 + ... + 20586.

Almost surely, 2^38670800 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 38670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54064899).

38670800 is an abundant number, since it is smaller than the sum of its proper divisors (69458998).

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

38670800 is a wasteful number, since it uses less digits than its factorization.

38670800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 38670800 is about 6218.5850480636. The cubic root of 38670800 is about 338.1642701385.

The spelling of 38670800 in words is "thirty-eight million, six hundred seventy thousand, eight hundred".