38484800 has 84 divisors (see below), whose sum is σ = 96377760. Its totient is φ = 15121920.

The previous prime is 38484799. The next prime is 38484811. The reversal of 38484800 is 848483.

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 11 ways as a sum of consecutive naturals, for example, 107021 + ... + 107379.

Almost surely, 2^38484800 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 38484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48188880).

38484800 is an abundant number, since it is smaller than the sum of its proper divisors (57892960).

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

38484800 is a wasteful number, since it uses less digits than its factorization.

38484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 38484800 is about 6203.6118511719. The cubic root of 38484800 is about 337.6212275984.

It can be divided in two parts, 384 and 84800, that added together give a cube (85184 = 44³).

The spelling of 38484800 in words is "thirty-eight million, four hundred eighty-four thousand, eight hundred".