3135216 has 120 divisors (see below), whose sum is σ = 9951744. Its totient is φ = 846720.

The previous prime is 3135211. The next prime is 3135221. The reversal of 3135216 is 6125313.

It is an interprime number because it is at equal distance from previous prime (3135211) and next prime (3135221).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3135192 and 3135201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135211) 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, 72891 + ... + 72933.

Almost surely, 2^3135216 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 3135216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975872).

3135216 is an abundant number, since it is smaller than the sum of its proper divisors (6816528).

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

3135216 is a wasteful number, since it uses less digits than its factorization.

3135216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 3135216 is about 1770.6541164214. The cubic root of 3135216 is about 146.3600296986.

The spelling of 3135216 in words is "three million, one hundred thirty-five thousand, two hundred sixteen".