3316896 has 96 divisors (see below), whose sum is σ = 10584000. Its totient is φ = 1002240.

The previous prime is 3316879. The next prime is 3316897. The reversal of 3316896 is 6986133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3316896² = 22003598149632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3316896.

It is not an unprimeable number, because it can be changed into a prime (3316897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9330 + ... + 9678.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

Almost surely, 2^3316896 is an apocalyptic number.

3316896 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 3316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000).

3316896 is an abundant number, since it is smaller than the sum of its proper divisors (7267104).

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

3316896 is a wasteful number, since it uses less digits than its factorization.

3316896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3316896 is about 1821.2347459897. The cubic root of 3316896 is about 149.1342123597.

It can be divided in two parts, 331 and 6896, that added together give a palindrome (7227).

The spelling of 3316896 in words is "three million, three hundred sixteen thousand, eight hundred ninety-six".