3525120 has 200 divisors, whose sum is σ = 13368564. Its totient is φ = 884736.

The previous prime is 3525061. The next prime is 3525133. The reversal of 3525120 is 215253.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 20736 = 1872^2 + 144^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3525093 and 3525102.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 204 × 180 × 96.

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, 207352 + ... + 207368.

Almost surely, 2^3525120 is an apocalyptic number.

3525120 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 3525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684282).

3525120 is an abundant number, since it is smaller than the sum of its proper divisors (9843444).

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

3525120 is an equidigital number, since it uses as much as digits as its factorization.

3525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3525120 is about 1877.5302926984. The cubic root of 3525120 is about 152.1918169292.

The spelling of 3525120 in words is "three million, five hundred twenty-five thousand, one hundred twenty".