3875366274024 has 512 divisors, whose sum is σ = 11662789017600. Its totient is φ = 1050471797760.

The previous prime is 3875366274001. The next prime is 3875366274049. The reversal of 3875366274024 is 4204726635783.

It is a Cunningham number, because it is equal to 1968595²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9205145334 + ... + 9205145754.

It is an arithmetic number, because the mean of its divisors is an integer number (22778884800).

Almost surely, 2^{3875366274024} 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 3875366274024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831394508800).

3875366274024 is an abundant number, since it is smaller than the sum of its proper divisors (7787422743576).

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

3875366274024 is a wasteful number, since it uses less digits than its factorization.

3875366274024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 3875366274024 in words is "three trillion, eight hundred seventy-five billion, three hundred sixty-six million, two hundred seventy-four thousand, twenty-four".