3884832 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1059840.

The previous prime is 3884831. The next prime is 3884833. The reversal of 3884832 is 2384883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3884831) and next prime (3884833).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3884831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82633 + ... + 82679.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^3884832 is an apocalyptic number.

3884832 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 3884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3884832 is an abundant number, since it is smaller than the sum of its proper divisors (9324000).

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

3884832 is a wasteful number, since it uses less digits than its factorization.

3884832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3884832 is about 1970.9977168937. The cubic root of 3884832 is about 157.2017636692.

The spelling of 3884832 in words is "three million, eight hundred eighty-four thousand, eight hundred thirty-two".