3976128000 has 800 divisors, whose sum is σ = 16220524320. Its totient is φ = 962150400.

The previous prime is 3976127993. The next prime is 3976128001. The reversal of 3976128000 is 8216793.

3976128000 is a `hidden beast` number, since 39 + 7 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976128001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391971 + ... + 67392029.

Almost surely, 2^3976128000 is an apocalyptic number.

3976128000 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 3976128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110262160).

3976128000 is an abundant number, since it is smaller than the sum of its proper divisors (12244396320).

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

3976128000 is an equidigital number, since it uses as much as digits as its factorization.

3976128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3976128000 is about 63056.5460519366. The cubic root of 3976128000 is about 1584.2368791747.

The spelling of 3976128000 in words is "three billion, nine hundred seventy-six million, one hundred twenty-eight thousand".