3509394816 has 128 divisors (see below), whose sum is σ = 9557775360. Its totient is φ = 1140572160.

The previous prime is 3509394769. The next prime is 3509394817. The reversal of 3509394816 is 6184939053.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3509394817) 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, 2643945 + ... + 2645271.

It is an arithmetic number, because the mean of its divisors is an integer number (74670120).

Almost surely, 2^3509394816 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 3509394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778887680).

3509394816 is an abundant number, since it is smaller than the sum of its proper divisors (6048380544).

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

3509394816 is a wasteful number, since it uses less digits than its factorization.

3509394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3509394816 is about 59240.1453070466. The cubic root of 3509394816 is about 1519.6517577099.

The spelling of 3509394816 in words is "three billion, five hundred nine million, three hundred ninety-four thousand, eight hundred sixteen".