3705800336 has 80 divisors (see below), whose sum is σ = 8330895360. Its totient is φ = 1564152960.

The previous prime is 3705800297. The next prime is 3705800339. The reversal of 3705800336 is 6330085073.

It is a super-2 number, since 2×3705800336² = 27465912260595425792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3705800296 and 3705800305.

It is not an unprimeable number, because it can be changed into a prime (3705800339) 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, 2288135 + ... + 2289753.

It is an arithmetic number, because the mean of its divisors is an integer number (104136192).

Almost surely, 2^3705800336 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 3705800336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165447680).

3705800336 is an abundant number, since it is smaller than the sum of its proper divisors (4625095024).

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

3705800336 is a wasteful number, since it uses less digits than its factorization.

3705800336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3705800336 is about 60875.2850999484. The cubic root of 3705800336 is about 1547.4881739496.

The spelling of 3705800336 in words is "three billion, seven hundred five million, eight hundred thousand, three hundred thirty-six".