3504816 has 160 divisors (see below), whose sum is σ = 12300800. Its totient is φ = 933120.

The previous prime is 3504811. The next prime is 3504821. The reversal of 3504816 is 6184053.

It is an interprime number because it is at equal distance from previous prime (3504811) and next prime (3504821).

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 3504816.

It is not an unprimeable number, because it can be changed into a prime (3504811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57426 + ... + 57486.

It is an arithmetic number, because the mean of its divisors is an integer number (76880).

Almost surely, 2^3504816 is an apocalyptic number.

3504816 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 3504816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150400).

3504816 is an abundant number, since it is smaller than the sum of its proper divisors (8795984).

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

3504816 is a wasteful number, since it uses less digits than its factorization.

3504816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3504816 is about 1872.1153810596. The cubic root of 3504816 is about 151.8990557841.

Adding to 3504816 its reverse (6184053), we get a palindrome (9688869).

The spelling of 3504816 in words is "three million, five hundred four thousand, eight hundred sixteen".