3513960 has 96 divisors (see below), whose sum is σ = 11737440. Its totient is φ = 911232.

The previous prime is 3513941. The next prime is 3513967. The reversal of 3513960 is 693153.

It is not an unprimeable number, because it can be changed into a prime (3513967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15367 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

Almost surely, 2^3513960 is an apocalyptic number.

3513960 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 3513960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868720).

3513960 is an abundant number, since it is smaller than the sum of its proper divisors (8223480).

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

3513960 is a wasteful number, since it uses less digits than its factorization.

3513960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3513960 is about 1874.5559474179. Note that the first 3 decimals coincide. The cubic root of 3513960 is about 152.0310416750.

The spelling of 3513960 in words is "three million, five hundred thirteen thousand, nine hundred sixty".