3135480 has 128 divisors (see below), whose sum is σ = 10497600. Its totient is φ = 745472.

The previous prime is 3135469. The next prime is 3135487. The reversal of 3135480 is 845313.

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 3135480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135487) 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, 59134 + ... + 59186.

Almost surely, 2^3135480 is an apocalyptic number.

3135480 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 3135480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248800).

3135480 is an abundant number, since it is smaller than the sum of its proper divisors (7362120).

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

3135480 is a wasteful number, since it uses less digits than its factorization.

3135480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

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

The square root of 3135480 is about 1770.7286635733. The cubic root of 3135480 is about 146.3641376520.

It can be divided in two parts, 31 and 35480, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 3135480 in words is "three million, one hundred thirty-five thousand, four hundred eighty".