3504820 has 48 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1253120.

The previous prime is 3504811. The next prime is 3504821. The reversal of 3504820 is 284053.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3504791 and 3504800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19491 + ... + 19669.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^3504820 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 3504820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3504820 is an abundant number, since it is smaller than the sum of its proper divisors (4659980).

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

3504820 is a wasteful number, since it uses less digits than its factorization.

3504820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3504820 is about 1872.1164493695. The cubic root of 3504820 is about 151.8991135709.

Adding to 3504820 its reverse (284053), we get a palindrome (3788873).

The spelling of 3504820 in words is "three million, five hundred four thousand, eight hundred twenty".