3700842828320 has 432 divisors, whose sum is σ = 10515387664152. Its totient is φ = 1225635840000.

The previous prime is 3700842828317. The next prime is 3700842828323. The reversal of 3700842828320 is 238282480073.

It is an interprime number because it is at equal distance from previous prime (3700842828317) and next prime (3700842828323).

It can be written as a sum of positive squares in 4 ways, for example, as 3599838360976 + 101004467344 = 1897324^2 + 317812^2 .

It is not an unprimeable number, because it can be changed into a prime (3700842828323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316278470 + ... + 316290170.

Almost surely, 2^{3700842828320} 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 3700842828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257693832076).

3700842828320 is an abundant number, since it is smaller than the sum of its proper divisors (6814544835832).

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

3700842828320 is a wasteful number, since it uses less digits than its factorization.

3700842828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11767 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 3700842828320 in words is "three trillion, seven hundred billion, eight hundred forty-two million, eight hundred twenty-eight thousand, three hundred twenty".