3487120 has 80 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1101312.

The previous prime is 3487111. The next prime is 3487123. The reversal of 3487120 is 217843.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3487123) 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, 7041 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3487120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3487120 is an abundant number, since it is smaller than the sum of its proper divisors (6512240).

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

3487120 is a wasteful number, since it uses less digits than its factorization.

3487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 3487120 is about 1867.3831958117. The cubic root of 3487120 is about 151.6429755425.

The spelling of 3487120 in words is "three million, four hundred eighty-seven thousand, one hundred twenty".