3513480 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 836352.

The previous prime is 3513469. The next prime is 3513481. The reversal of 3513480 is 843153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3513480.

It is not an unprimeable number, because it can be changed into a prime (3513481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52407 + ... + 52473.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3513480 is an apocalyptic number.

3513480 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 3513480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3513480 is an abundant number, since it is smaller than the sum of its proper divisors (8236920).

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

3513480 is a wasteful number, since it uses less digits than its factorization.

3513480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3513480 is about 1874.4279127243. The cubic root of 3513480 is about 152.0241189797.

It can be divided in two parts, 3513 and 480, that added together give a palindrome (3993).

The spelling of 3513480 in words is "three million, five hundred thirteen thousand, four hundred eighty".