3505416320 has 128 divisors (see below), whose sum is σ = 10140888960. Its totient is φ = 1131134976.

The previous prime is 3505416307. The next prime is 3505416323. The reversal of 3505416320 is 236145053.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3505416323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53147 + ... + 99173.

It is an arithmetic number, because the mean of its divisors is an integer number (79225695).

Almost surely, 2^3505416320 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 3505416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070444480).

3505416320 is an abundant number, since it is smaller than the sum of its proper divisors (6635472640).

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

3505416320 is a wasteful number, since it uses less digits than its factorization.

3505416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46070 (or 46058 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 3505416320 is about 59206.5563936968. The cubic root of 3505416320 is about 1519.0772793081.

The spelling of 3505416320 in words is "three billion, five hundred five million, four hundred sixteen thousand, three hundred twenty".