3505580 has 48 divisors (see below), whose sum is σ = 8067360. Its totient is φ = 1271808.

The previous prime is 3505577. The next prime is 3505583. The reversal of 3505580 is 855053.

It is an interprime number because it is at equal distance from previous prime (3505577) and next prime (3505583).

It is a super-3 number, since 3×3505580³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3505583) 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, 25151 + ... + 25289.

It is an arithmetic number, because the mean of its divisors is an integer number (168070).

Almost surely, 2^3505580 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 3505580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033680).

3505580 is an abundant number, since it is smaller than the sum of its proper divisors (4561780).

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

3505580 is a wasteful number, since it uses less digits than its factorization.

3505580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 3505580 is about 1872.3194171936. The cubic root of 3505580 is about 151.9100922596.

The spelling of 3505580 in words is "three million, five hundred five thousand, five hundred eighty".