3840512 has 40 divisors (see below), whose sum is σ = 8278116. Its totient is φ = 1769472.

The previous prime is 3840503. The next prime is 3840523. The reversal of 3840512 is 2150483.

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 92416 = 1936^2 + 304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6368 + ... + 6944.

Almost surely, 2^3840512 is an apocalyptic number.

3840512 is a gapful number since it is divisible by the number (32) 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 3840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139058).

3840512 is an abundant number, since it is smaller than the sum of its proper divisors (4437604).

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

3840512 is an equidigital number, since it uses as much as digits as its factorization.

3840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 3840512 is about 1959.7224293251. The cubic root of 3840512 is about 156.6016651021.

Adding to 3840512 its reverse (2150483), we get a palindrome (5990995).

The spelling of 3840512 in words is "three million, eight hundred forty thousand, five hundred twelve".