3505305632 has 48 divisors (see below), whose sum is σ = 7146740160. Its totient is φ = 1690391808.

The previous prime is 3505305631. The next prime is 3505305659. The reversal of 3505305632 is 2365035053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3505305631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322933 + ... + 1325579.

It is an arithmetic number, because the mean of its divisors is an integer number (148890420).

Almost surely, 2^3505305632 is an apocalyptic number.

3505305632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573370080).

3505305632 is an abundant number, since it is smaller than the sum of its proper divisors (3641434528).

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

3505305632 is a wasteful number, since it uses less digits than its factorization.

3505305632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 32.

The square root of 3505305632 is about 59205.6216249775. The cubic root of 3505305632 is about 1519.0612902043.

The spelling of 3505305632 in words is "three billion, five hundred five million, three hundred five thousand, six hundred thirty-two".