3505920 has 144 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 839680.

The previous prime is 3505889. The next prime is 3505921. The reversal of 3505920 is 295053.

3505920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42199 + ... + 42281.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 2^3505920 is an apocalyptic number.

3505920 is a gapful number since it is divisible by the number (30) 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 3505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

3505920 is an abundant number, since it is smaller than the sum of its proper divisors (8856192).

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

3505920 is a wasteful number, since it uses less digits than its factorization.

3505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 3505920 is about 1872.4102114654. The cubic root of 3505920 is about 151.9150032645.

The spelling of 3505920 in words is "three million, five hundred five thousand, nine hundred twenty".