3589920 has 120 divisors (see below), whose sum is σ = 12715164. Its totient is φ = 953856.

The previous prime is 3589913. The next prime is 3589933. The reversal of 3589920 is 299853.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 219024 = 1836^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12822 + ... + 13098.

Almost surely, 2^3589920 is an apocalyptic number.

3589920 is a gapful number since it is divisible by the number (30) 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 3589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357582).

3589920 is an abundant number, since it is smaller than the sum of its proper divisors (9125244).

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

3589920 is a wasteful number, since it uses less digits than its factorization.

3589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3589920 is about 1894.7084208395. The cubic root of 3589920 is about 153.1187083351.

The spelling of 3589920 in words is "three million, five hundred eighty-nine thousand, nine hundred twenty".