3808386720 has 240 divisors, whose sum is σ = 13905266760. Its totient is φ = 980453376.

The previous prime is 3808386697. The next prime is 3808386739. The reversal of 3808386720 is 276838083.

It can be written as a sum of positive squares in 4 ways, for example, as 3498485904 + 309900816 = 59148^2 + 17604^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 370774 + ... + 380906.

Almost surely, 2^3808386720 is an apocalyptic number.

3808386720 is a gapful number since it is divisible by the number (30) 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 3808386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952633380).

3808386720 is an abundant number, since it is smaller than the sum of its proper divisors (10096880040).

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

3808386720 is a wasteful number, since it uses less digits than its factorization.

3808386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3808386720 is about 61712.1278194165. The cubic root of 3808386720 is about 1561.6379246268.

The spelling of 3808386720 in words is "three billion, eight hundred eight million, three hundred eighty-six thousand, seven hundred twenty".