3552120 has 256 divisors, whose sum is σ = 14515200. Its totient is φ = 760320.

The previous prime is 3552103. The next prime is 3552137. The reversal of 3552120 is 212553.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3552103) and next prime (3552137).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3552093 and 3552102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154429 + ... + 154451.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

Almost surely, 2^3552120 is an apocalyptic number.

3552120 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 3552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3552120 is an abundant number, since it is smaller than the sum of its proper divisors (10963080).

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

3552120 is a wasteful number, since it uses less digits than its factorization.

3552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

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

The square root of 3552120 is about 1884.7068737605. The cubic root of 3552120 is about 152.5793907147.

Adding to 3552120 its reverse (212553), we get a palindrome (3764673).

The spelling of 3552120 in words is "three million, five hundred fifty-two thousand, one hundred twenty".