3501120 has 112 divisors (see below), whose sum is σ = 12728448. Its totient is φ = 798720.

The previous prime is 3501107. The next prime is 3501137. The reversal of 3501120 is 211053.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3501096 and 3501105.

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, 6460 + ... + 6980.

Almost surely, 2^3501120 is an apocalyptic number.

3501120 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 3501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364224).

3501120 is an abundant number, since it is smaller than the sum of its proper divisors (9227328).

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

3501120 is a wasteful number, since it uses less digits than its factorization.

3501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 3501120 is about 1871.1280020351. The cubic root of 3501120 is about 151.8456420078.

Adding to 3501120 its reverse (211053), we get a palindrome (3712173).

The spelling of 3501120 in words is "three million, five hundred one thousand, one hundred twenty".