3976888320 has 512 divisors, whose sum is σ = 15099264000. Its totient is φ = 990904320.

The previous prime is 3976888303. The next prime is 3976888397. The reversal of 3976888320 is 238886793.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128286705 + ... + 128286735.

It is an arithmetic number, because the mean of its divisors is an integer number (29490750).

Almost surely, 2^3976888320 is an apocalyptic number.

3976888320 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 3976888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549632000).

3976888320 is an abundant number, since it is smaller than the sum of its proper divisors (11122375680).

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

3976888320 is an equidigital number, since it uses as much as digits as its factorization.

3976888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3976888320 is about 63062.5746382115. The cubic root of 3976888320 is about 1584.3378526356.

The spelling of 3976888320 in words is "three billion, nine hundred seventy-six million, eight hundred eighty-eight thousand, three hundred twenty".