3522120 has 96 divisors (see below), whose sum is σ = 12312000. Its totient is φ = 803712.

The previous prime is 3522109. The next prime is 3522131. The reversal of 3522120 is 212253.

It is an interprime number because it is at equal distance from previous prime (3522109) and next prime (3522131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3522120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5581 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

Almost surely, 2^3522120 is an apocalyptic number.

3522120 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 3522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156000).

3522120 is an abundant number, since it is smaller than the sum of its proper divisors (8789880).

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

3522120 is a wasteful number, since it uses less digits than its factorization.

3522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3522120 is about 1876.7312007850. The cubic root of 3522120 is about 152.1486311623.

Adding to 3522120 its reverse (212253), we get a palindrome (3734373).

It can be divided in two parts, 35 and 22120, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 3522120 in words is "three million, five hundred twenty-two thousand, one hundred twenty".