38884800 has 84 divisors (see below), whose sum is σ = 127590296. Its totient is φ = 10368000.

The previous prime is 38884787. The next prime is 38884843. The reversal of 38884800 is 848883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 8850.

Almost surely, 2^38884800 is an apocalyptic number.

38884800 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 38884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63795148).

38884800 is an abundant number, since it is smaller than the sum of its proper divisors (88705496).

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

38884800 is a wasteful number, since it uses less digits than its factorization.

38884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 38884800 is about 6235.7677955485. The cubic root of 38884800 is about 338.7869110980.

It can be divided in two parts, 3888 and 4800, that multiplied together give a square (18662400 = 4320²).

The spelling of 38884800 in words is "thirty-eight million, eight hundred eighty-four thousand, eight hundred".