3681920 has 64 divisors (see below), whose sum is σ = 9620640. Its totient is φ = 1336320.

The previous prime is 3681917. The next prime is 3681947. The reversal of 3681920 is 291863.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6779 + ... + 7301.

Almost surely, 2^3681920 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 3681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810320).

3681920 is an abundant number, since it is smaller than the sum of its proper divisors (5938720).

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

3681920 is a wasteful number, since it uses less digits than its factorization.

3681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3681920 is about 1918.8329786618. The cubic root of 3681920 is about 154.4156981542.

The spelling of 3681920 in words is "three million, six hundred eighty-one thousand, nine hundred twenty".