3832640 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1247232.

The previous prime is 3832637. The next prime is 3832643. The reversal of 3832640 is 462383.

3832640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3832637) and next prime (3832643).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64931 + ... + 64989.

Almost surely, 2^3832640 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 3832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3832640 is an abundant number, since it is smaller than the sum of its proper divisors (7140160).

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

3832640 is a wasteful number, since it uses less digits than its factorization.

3832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3832640 is about 1957.7129513797. The cubic root of 3832640 is about 156.4945950424.

The spelling of 3832640 in words is "three million, eight hundred thirty-two thousand, six hundred forty".