3508320816 has 960 divisors, whose sum is σ = 14724057600. Its totient is φ = 783820800.

The previous prime is 3508320793. The next prime is 3508320817. The reversal of 3508320816 is 6180238053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3508320817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57513426 + ... + 57513486.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560).

Almost surely, 2^3508320816 is an apocalyptic number.

3508320816 is a gapful number since it is divisible by the number (36) 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 3508320816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362028800).

3508320816 is an abundant number, since it is smaller than the sum of its proper divisors (11215736784).

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

3508320816 is a wasteful number, since it uses less digits than its factorization.

3508320816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3508320816 is about 59231.0798145703. The cubic root of 3508320816 is about 1519.4967193442.

Adding to 3508320816 its reverse (6180238053), we get a palindrome (9688558869).

The spelling of 3508320816 in words is "three billion, five hundred eight million, three hundred twenty thousand, eight hundred sixteen".