3509680928 has 48 divisors (see below), whose sum is σ = 7450906680. Its totient is φ = 1617739776.

The previous prime is 3509680927. The next prime is 3509680997. The reversal of 3509680928 is 8290869053.

It can be written as a sum of positive squares in 4 ways, for example, as 2790797584 + 718883344 = 52828^2 + 26812^2 .

It is not an unprimeable number, because it can be changed into a prime (3509680921) 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, 339776 + ... + 349952.

Almost surely, 2^3509680928 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 3509680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725453340).

3509680928 is an abundant number, since it is smaller than the sum of its proper divisors (3941225752).

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

3509680928 is a wasteful number, since it uses less digits than its factorization.

3509680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 3509680928 is about 59242.5601067341. The cubic root of 3509680928 is about 1519.6930543637.

The spelling of 3509680928 in words is "three billion, five hundred nine million, six hundred eighty thousand, nine hundred twenty-eight".