38800800 has 216 divisors, whose sum is σ = 145326636. Its totient is φ = 9707520.

The previous prime is 38800799. The next prime is 38800837. The reversal of 38800800 is 800883.

It can be written as a sum of positive squares in 6 ways, for example, as 9511056 + 29289744 = 3084^2 + 5412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122242 + ... + 122558.

Almost surely, 2^38800800 is an apocalyptic number.

38800800 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 38800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72663318).

38800800 is an abundant number, since it is smaller than the sum of its proper divisors (106525836).

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

38800800 is a wasteful number, since it uses less digits than its factorization.

38800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38800800 is about 6229.0288167579. The cubic root of 38800800 is about 338.5427829970.

The spelling of 38800800 in words is "thirty-eight million, eight hundred thousand, eight hundred".