3513120 has 96 divisors (see below), whose sum is σ = 11938752. Its totient is φ = 863232.

The previous prime is 3513079. The next prime is 3513121. The reversal of 3513120 is 213153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 3513120.

It is not an unprimeable number, because it can be changed into a prime (3513121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5959 + ... + 6521.

It is an arithmetic number, because the mean of its divisors is an integer number (124362).

Almost surely, 2^3513120 is an apocalyptic number.

3513120 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 3513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969376).

3513120 is an abundant number, since it is smaller than the sum of its proper divisors (8425632).

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

3513120 is a wasteful number, since it uses less digits than its factorization.

3513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3513120 is about 1874.3318809645. The cubic root of 3513120 is about 152.0189265444.

Adding to 3513120 its reverse (213153), we get a palindrome (3726273).

The spelling of 3513120 in words is "three million, five hundred thirteen thousand, one hundred twenty".