3671920 has 80 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1228032.

The previous prime is 3671903. The next prime is 3671923. The reversal of 3671920 is 291763.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44199 + ... + 44281.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3671920 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 3671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3671920 is an abundant number, since it is smaller than the sum of its proper divisors (6327440).

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

3671920 is a wasteful number, since it uses less digits than its factorization.

3671920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 3671920 is about 1916.2254564638. The cubic root of 3671920 is about 154.2757750472.

The spelling of 3671920 in words is "three million, six hundred seventy-one thousand, nine hundred twenty".