3788832 has 48 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1240320.

The previous prime is 3788779. The next prime is 3788833. The reversal of 3788832 is 2388873.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3788833) 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, 5533 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^3788832 is an apocalyptic number.

3788832 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 3788832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3788832 is an abundant number, since it is smaller than the sum of its proper divisors (6335520).

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

3788832 is a wasteful number, since it uses less digits than its factorization.

3788832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 3788832 is about 1946.4922296274. The cubic root of 3788832 is about 155.8960517240.

It can be divided in two parts, 378883 and 2, that added together give a triangular number (378885 = T₈₇₀).

The spelling of 3788832 in words is "three million, seven hundred eighty-eight thousand, eight hundred thirty-two".