3505040 has 80 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 1090560.

The previous prime is 3505031. The next prime is 3505067. The reversal of 3505040 is 405053.

3505040 = T₁₀₅ + T₁₀₆ + ... + T₂₈₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5876 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^3505040 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 3505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

3505040 is an abundant number, since it is smaller than the sum of its proper divisors (6672880).

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

3505040 is a wasteful number, since it uses less digits than its factorization.

3505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 3505040 is about 1872.1752054762. The cubic root of 3505040 is about 151.9022917756.

The spelling of 3505040 in words is "three million, five hundred five thousand, forty".