3880032 has 48 divisors (see below), whose sum is σ = 10972080. Its totient is φ = 1193472.

The previous prime is 3880007. The next prime is 3880033. The reversal of 3880032 is 2300883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 3879984 and 3880011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (228585).

Almost surely, 2^3880032 is an apocalyptic number.

3880032 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 3880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486040).

3880032 is an abundant number, since it is smaller than the sum of its proper divisors (7092048).

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

3880032 is a wasteful number, since it uses less digits than its factorization.

3880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3880032 is about 1969.7796831118. The cubic root of 3880032 is about 157.1369921463.

The spelling of 3880032 in words is "three million, eight hundred eighty thousand, thirty-two".