3840032 has 72 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1572480.

The previous prime is 3840017. The next prime is 3840037. The reversal of 3840032 is 2300483.

It is a super-2 number, since 2×3840032² = 29491691522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3839986 and 3840013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48569 + ... + 48647.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^3840032 is an apocalyptic number.

3840032 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 3840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3840032 is an abundant number, since it is smaller than the sum of its proper divisors (5352928).

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

3840032 is a wasteful number, since it uses less digits than its factorization.

3840032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3840032 is about 1959.5999591753. The cubic root of 3840032 is about 156.5951406308.

The spelling of 3840032 in words is "three million, eight hundred forty thousand, thirty-two".