3501782960 has 80 divisors (see below), whose sum is σ = 8819060544. Its totient is φ = 1285426176.

The previous prime is 3501782903. The next prime is 3501782989. The reversal of 3501782960 is 692871053.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170189 + ... + 189651.

Almost surely, 2^3501782960 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 3501782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409530272).

3501782960 is an abundant number, since it is smaller than the sum of its proper divisors (5317277584).

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

3501782960 is a wasteful number, since it uses less digits than its factorization.

3501782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 3501782960 is about 59175.8646747135. The cubic root of 3501782960 is about 1518.5522572514.

The spelling of 3501782960 in words is "three billion, five hundred one million, seven hundred eighty-two thousand, nine hundred sixty".