3581920 has 48 divisors (see below), whose sum is σ = 8624448. Its totient is φ = 1405440.

The previous prime is 3581911. The next prime is 3581923. The reversal of 3581920 is 291853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9577 + ... + 9943.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

Almost surely, 2^3581920 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 3581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312224).

3581920 is an abundant number, since it is smaller than the sum of its proper divisors (5042528).

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

3581920 is a wasteful number, since it uses less digits than its factorization.

3581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 3581920 is about 1892.5961005983. The cubic root of 3581920 is about 153.0048840055.

It can be divided in two parts, 358 and 1920, that added together give a triangular number (2278 = T₆₇).

The spelling of 3581920 in words is "three million, five hundred eighty-one thousand, nine hundred twenty".