3135456 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 984960.

The previous prime is 3135449. The next prime is 3135469. The reversal of 3135456 is 6545313.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16321 + ... + 16511.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 2^3135456 is an apocalyptic number.

3135456 is a gapful number since it is divisible by the number (36) 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 3135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3135456 is an abundant number, since it is smaller than the sum of its proper divisors (6541344).

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

3135456 is a wasteful number, since it uses less digits than its factorization.

3135456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 3135456 is about 1770.7218866892. The cubic root of 3135456 is about 146.3637642112.

The spelling of 3135456 in words is "three million, one hundred thirty-five thousand, four hundred fifty-six".