3505304401140 has 96 divisors (see below), whose sum is σ = 10284082212096. Its totient is φ = 890396559360.

The previous prime is 3505304401121. The next prime is 3505304401169. The reversal of 3505304401140 is 411044035053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3505304401098 and 3505304401107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4937287 + ... + 5602446.

It is an arithmetic number, because the mean of its divisors is an integer number (107125856376).

Almost surely, 2^{3505304401140} is an apocalyptic number.

3505304401140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3505304401140 is an abundant number, since it is smaller than the sum of its proper divisors (6778777810956).

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

3505304401140 is a wasteful number, since it uses less digits than its factorization.

3505304401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540009 (or 10540007 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 3505304401140 its reverse (411044035053), we get a palindrome (3916348436193).

The spelling of 3505304401140 in words is "three trillion, five hundred five billion, three hundred four million, four hundred one thousand, one hundred forty".