3976126976640 has 384 divisors, whose sum is σ = 15684367824000. Its totient is φ = 838918619136.

The previous prime is 3976126976621. The next prime is 3976126976659. The reversal of 3976126976640 is 466796216793.

It is an interprime number because it is at equal distance from previous prime (3976126976621) and next prime (3976126976659).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1396086 + ... + 3146634.

It is an arithmetic number, because the mean of its divisors is an integer number (40844707875).

Almost surely, 2^{3976126976640} is an apocalyptic number.

3976126976640 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 3976126976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842183912000).

3976126976640 is an abundant number, since it is smaller than the sum of its proper divisors (11708240847360).

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

3976126976640 is a wasteful number, since it uses less digits than its factorization.

3976126976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750604 (or 1750579 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 66.

The spelling of 3976126976640 in words is "three trillion, nine hundred seventy-six billion, one hundred twenty-six million, nine hundred seventy-six thousand, six hundred forty".