3083970816 has 108 divisors (see below), whose sum is σ = 9415017612. Its totient is φ = 967507968.

The previous prime is 3083970811. The next prime is 3083970817. The reversal of 3083970816 is 6180793803.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1217730816 + 1866240000 = 34896^2 + 43200^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3083970811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201 + ... + 78536.

It is an arithmetic number, because the mean of its divisors is an integer number (87176089).

Almost surely, 2^3083970816 is an apocalyptic number.

3083970816 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 3083970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707508806).

3083970816 is an abundant number, since it is smaller than the sum of its proper divisors (6331046796).

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

3083970816 is a wasteful number, since it uses less digits than its factorization.

3083970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78776 (or 78759 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3083970816 is about 55533.5107480159. The cubic root of 3083970816 is about 1455.5822574861.

The spelling of 3083970816 in words is "three billion, eighty-three million, nine hundred seventy thousand, eight hundred sixteen".