3888000 has 192 divisors, whose sum is σ = 14479920. Its totient is φ = 1036800.

The previous prime is 3887999. The next prime is 3888007. The reversal of 3888000 is 8883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777598 + ... + 777602.

Almost surely, 2^3888000 is an apocalyptic number.

3888000 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 3888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239960).

3888000 is an abundant number, since it is smaller than the sum of its proper divisors (10591920).

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

3888000 is an frugal number, since it uses more digits than its factorization.

3888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

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

The square root of 3888000 is about 1971.8012070186. The cubic root of 3888000 is about 157.2444836525.

The spelling of 3888000 in words is "three million, eight hundred eighty-eight thousand".