3505961472 has 160 divisors (see below), whose sum is σ = 10589113920. Its totient is φ = 1021870080.

The previous prime is 3505961449. The next prime is 3505961477. The reversal of 3505961472 is 2741695053.

It is not an unprimeable number, because it can be changed into a prime (3505961477) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 374772 + ... + 384012.

It is an arithmetic number, because the mean of its divisors is an integer number (66181962).

Almost surely, 2^3505961472 is an apocalyptic number.

3505961472 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 3505961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294556960).

3505961472 is an abundant number, since it is smaller than the sum of its proper divisors (7083152448).

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

3505961472 is a wasteful number, since it uses less digits than its factorization.

3505961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 3505961472 is about 59211.1600291702. The cubic root of 3505961472 is about 1519.1560226979.

The spelling of 3505961472 in words is "three billion, five hundred five million, nine hundred sixty-one thousand, four hundred seventy-two".