3875971976448 has 288 divisors, whose sum is σ = 12244162342272. Its totient is φ = 1073007820800.

The previous prime is 3875971976447. The next prime is 3875971976483. The reversal of 3875971976448 is 8446791795783.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875971976447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10471008 + ... + 10834848.

Almost surely, 2^{3875971976448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875971976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122081171136).

3875971976448 is an abundant number, since it is smaller than the sum of its proper divisors (8368190365824).

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

3875971976448 is a wasteful number, since it uses less digits than its factorization.

3875971976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363981 (or 363967 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 78.

The spelling of 3875971976448 in words is "three trillion, eight hundred seventy-five billion, nine hundred seventy-one million, nine hundred seventy-six thousand, four hundred forty-eight".