3414816 has 72 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1115520.

The previous prime is 3414809. The next prime is 3414857. The reversal of 3414816 is 6184143.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 3414816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20365 + ... + 20531.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^3414816 is an apocalyptic number.

3414816 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 3414816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3414816 is an abundant number, since it is smaller than the sum of its proper divisors (6491808).

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

3414816 is a wasteful number, since it uses less digits than its factorization.

3414816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3414816 is about 1847.9220762792. The cubic root of 3414816 is about 150.5875621332.

Adding to 3414816 its reverse (6184143), we get a palindrome (9598959).

The spelling of 3414816 in words is "three million, four hundred fourteen thousand, eight hundred sixteen".