3505040000 has 320 divisors, whose sum is σ = 10897761600. Its totient is φ = 1090560000.

The previous prime is 3505039987. The next prime is 3505040023. The reversal of 3505040000 is 405053.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6159716 + ... + 6160284.

It is an arithmetic number, because the mean of its divisors is an integer number (34055505).

Almost surely, 2^3505040000 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 3505040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448880800).

3505040000 is an abundant number, since it is smaller than the sum of its proper divisors (7392721600).

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

3505040000 is an equidigital number, since it uses as much as digits as its factorization.

3505040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

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

The square root of 3505040000 is about 59203.3782819866. The cubic root of 3505040000 is about 1519.0229177556.

Adding to 3505040000 its reverse (405053), we get a palindrome (3505445053).

It can be divided in two parts, 350 and 5040000, that multiplied together give a square (1764000000 = 42000²).

The spelling of 3505040000 in words is "three billion, five hundred five million, forty thousand".