3505005020 has 96 divisors (see below), whose sum is σ = 8155982016. Its totient is φ = 1254656000.

The previous prime is 3505005019. The next prime is 3505005037. The reversal of 3505005020 is 205005053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3505004983 and 3505005001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176922 + ... + 5177598.

It is an arithmetic number, because the mean of its divisors is an integer number (84958146).

Almost surely, 2^3505005020 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 3505005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077991008).

3505005020 is an abundant number, since it is smaller than the sum of its proper divisors (4650976996).

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

3505005020 is a wasteful number, since it uses less digits than its factorization.

3505005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 3505005020 is about 59203.0828589188. The cubic root of 3505005020 is about 1519.0178644991.

The spelling of 3505005020 in words is "three billion, five hundred five million, five thousand, twenty".