3562120 has 64 divisors (see below), whose sum is σ = 8712000. Its totient is φ = 1306368.

The previous prime is 3562109. The next prime is 3562193. The reversal of 3562120 is 212653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32626 + ... + 32734.

It is an arithmetic number, because the mean of its divisors is an integer number (136125).

Almost surely, 2^3562120 is an apocalyptic number.

3562120 is the 1090-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3562120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356000).

3562120 is an abundant number, since it is smaller than the sum of its proper divisors (5149880).

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

3562120 is a wasteful number, since it uses less digits than its factorization.

3562120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3562120 is about 1887.3579416740. The cubic root of 3562120 is about 152.7224380899.

Adding to 3562120 its reverse (212653), we get a palindrome (3774773).

The spelling of 3562120 in words is "three million, five hundred sixty-two thousand, one hundred twenty".