3505404760 has 384 divisors, whose sum is σ = 10245657600. Its totient is φ = 1065492480.

The previous prime is 3505404719. The next prime is 3505404761. The reversal of 3505404760 is 674045053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505404761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59413611 + ... + 59413669.

It is an arithmetic number, because the mean of its divisors is an integer number (26681400).

Almost surely, 2^3505404760 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 3505404760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122828800).

3505404760 is an abundant number, since it is smaller than the sum of its proper divisors (6740252840).

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

3505404760 is a wasteful number, since it uses less digits than its factorization.

3505404760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 3505404760 is about 59206.4587692931. The cubic root of 3505404760 is about 1519.0756094586.

The spelling of 3505404760 in words is "three billion, five hundred five million, four hundred four thousand, seven hundred sixty".