3505880 has 64 divisors (see below), whose sum is σ = 9504000. Its totient is φ = 1137024.

The previous prime is 3505849. The next prime is 3505889. The reversal of 3505880 is 885053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505889) 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, 4991 + ... + 5649.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

Almost surely, 2^3505880 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 3505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752000).

3505880 is an abundant number, since it is smaller than the sum of its proper divisors (5998120).

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

3505880 is a wasteful number, since it uses less digits than its factorization.

3505880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 3505880 is about 1872.3995300149. The cubic root of 3505880 is about 151.9144255157.

The spelling of 3505880 in words is "three million, five hundred five thousand, eight hundred eighty".