3542120 has 32 divisors (see below), whose sum is σ = 8440200. Its totient is φ = 1333248.

The previous prime is 3542117. The next prime is 3542141. The reversal of 3542120 is 212453.

It can be written as a sum of positive squares in 4 ways, for example, as 3541924 + 196 = 1882^2 + 14^2 .

It is a super-3 number, since 3×3542120³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1925 + ... + 3284.

Almost surely, 2^3542120 is an apocalyptic number.

It is an amenable number.

3542120 is an abundant number, since it is smaller than the sum of its proper divisors (4898080).

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

3542120 is a wasteful number, since it uses less digits than its factorization.

3542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3542120 is about 1882.0520715432. The cubic root of 3542120 is about 152.4360746137.

Adding to 3542120 its reverse (212453), we get a palindrome (3754573).

The spelling of 3542120 in words is "three million, five hundred forty-two thousand, one hundred twenty".