3704832 has 96 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 1216512.

The previous prime is 3704821. The next prime is 3704843. The reversal of 3704832 is 2384073.

It is an interprime number because it is at equal distance from previous prime (3704821) and next prime (3704843).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3704796 and 3704805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55263 + ... + 55329.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

Almost surely, 2^3704832 is an apocalyptic number.

3704832 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 3704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

3704832 is an abundant number, since it is smaller than the sum of its proper divisors (7433568).

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

3704832 is an equidigital number, since it uses as much as digits as its factorization.

3704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

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

The square root of 3704832 is about 1924.7940149533. The cubic root of 3704832 is about 154.7353374544.

The spelling of 3704832 in words is "three million, seven hundred four thousand, eight hundred thirty-two".