3840000 has 120 divisors (see below), whose sum is σ = 12792780. Its totient is φ = 1024000.

The previous prime is 3839999. The next prime is 3840007. The reversal of 3840000 is 483.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 200 × 120 × 160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 767998 + ... + 768002.

Almost surely, 2^3840000 is an apocalyptic number.

3840000 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 3840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396390).

3840000 is an abundant number, since it is smaller than the sum of its proper divisors (8952780).

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

3840000 is an frugal number, since it uses more digits than its factorization.

3840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3840000 is about 1959.5917942265. The cubic root of 3840000 is about 156.5947056468.

Multiplying 3840000 by its product of nonzero digits (96), we get a square (368640000 = 19200²).

3840000 divided by its product of nonzero digits (96) gives a square (40000 = 200²).

Adding to 3840000 its reverse (483), we get a palindrome (3840483).

The spelling of 3840000 in words is "three million, eight hundred forty thousand".