3915216 has 120 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1213056.

The previous prime is 3915187. The next prime is 3915239. The reversal of 3915216 is 6125193.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3915216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73846 + ... + 73898.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^3915216 is an apocalyptic number.

3915216 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 3915216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3915216 is an abundant number, since it is smaller than the sum of its proper divisors (8271504).

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

3915216 is a wasteful number, since it uses less digits than its factorization.

3915216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 3915216 is about 1978.6904760472. The cubic root of 3915216 is about 157.6105346527.

The spelling of 3915216 in words is "three million, nine hundred fifteen thousand, two hundred sixteen".