3505680 has 100 divisors (see below), whose sum is σ = 12198252. Its totient is φ = 933120.

The previous prime is 3505673. The next prime is 3505681. The reversal of 3505680 is 865053.

3505680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 2178576 = 1152^2 + 1476^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3505681) 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 19 ways as a sum of consecutive naturals, for example, 6210 + ... + 6750.

Almost surely, 2^3505680 is an apocalyptic number.

3505680 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 3505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099126).

3505680 is an abundant number, since it is smaller than the sum of its proper divisors (8692572).

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

3505680 is a wasteful number, since it uses less digits than its factorization.

3505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3505680 is about 1872.3461218482. The cubic root of 3505680 is about 151.9115367057.

The spelling of 3505680 in words is "three million, five hundred five thousand, six hundred eighty".