3784032 has 72 divisors (see below), whose sum is σ = 12304656. Its totient is φ = 1080576.

The previous prime is 3784019. The next prime is 3784037. The reversal of 3784032 is 2304873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3783987 and 3784005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784037) 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, 1078 + ... + 2954.

It is an arithmetic number, because the mean of its divisors is an integer number (170898).

Almost surely, 2^3784032 is an apocalyptic number.

3784032 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 3784032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152328).

3784032 is an abundant number, since it is smaller than the sum of its proper divisors (8520624).

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

3784032 is a wasteful number, since it uses less digits than its factorization.

3784032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3784032 is about 1945.2588516699. The cubic root of 3784032 is about 155.8301899779.

The spelling of 3784032 in words is "three million, seven hundred eighty-four thousand, thirty-two".