3808971360 has 288 divisors, whose sum is σ = 13543770240. Its totient is φ = 973615104.

The previous prime is 3808971349. The next prime is 3808971371. The reversal of 3808971360 is 631798083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3808971349) and next prime (3808971371).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8226489 + ... + 8226951.

It is an arithmetic number, because the mean of its divisors is an integer number (47026980).

Almost surely, 2^3808971360 is an apocalyptic number.

3808971360 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 3808971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771885120).

3808971360 is an abundant number, since it is smaller than the sum of its proper divisors (9734798880).

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

3808971360 is a wasteful number, since it uses less digits than its factorization.

3808971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

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

The square root of 3808971360 is about 61716.8644699324. The cubic root of 3808971360 is about 1561.7178315400.

The spelling of 3808971360 in words is "three billion, eight hundred eight million, nine hundred seventy-one thousand, three hundred sixty".