3682944 has 96 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 1165824.

The previous prime is 3682933. The next prime is 3682961. The reversal of 3682944 is 4492863.

It is a happy number.

3682944 is a `hidden beast` number, since 368 + 294 + 4 = 666.

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 (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3682899 and 3682908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26427 + ... + 26565.

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

Almost surely, 2^3682944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

3682944 is an abundant number, since it is smaller than the sum of its proper divisors (7455456).

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

3682944 is a wasteful number, since it uses less digits than its factorization.

3682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3682944 is about 1919.0997889636. The cubic root of 3682944 is about 154.4300119740.

It can be divided in two parts, 36 and 82944, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 3682944 in words is "three million, six hundred eighty-two thousand, nine hundred forty-four".