3680832 has 56 divisors (see below), whose sum is σ = 10261600. Its totient is φ = 1161216.

The previous prime is 3680791. The next prime is 3680837. The reversal of 3680832 is 2380863.

It is a self number, because there is not a number n which added to its sum of digits gives 3680832.

It is not an unprimeable number, because it can be changed into a prime (3680837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3144 + ... + 4152.

Almost surely, 2^3680832 is an apocalyptic number.

3680832 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 3680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130800).

3680832 is an abundant number, since it is smaller than the sum of its proper divisors (6580768).

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

3680832 is a wasteful number, since it uses less digits than its factorization.

3680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3680832 is about 1918.5494520601. The cubic root of 3680832 is about 154.4004868124.

The spelling of 3680832 in words is "three million, six hundred eighty thousand, eight hundred thirty-two".