3874926423312 has 1280 divisors, whose sum is σ = 13979581440000. Its totient is φ = 1025216704512.

The previous prime is 3874926423289. The next prime is 3874926423317. The reversal of 3874926423312 is 2133246294783.

It is a happy number.

3874926423312 is a `hidden beast` number, since 3 + 8 + 7 + 49 + 264 + 2 + 331 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3874926423317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12379956468 + ... + 12379956780.

It is an arithmetic number, because the mean of its divisors is an integer number (10921548000).

Almost surely, 2^{3874926423312} 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 3874926423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989790720000).

3874926423312 is an abundant number, since it is smaller than the sum of its proper divisors (10104655016688).

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

3874926423312 is a wasteful number, since it uses less digits than its factorization.

3874926423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 3874926423312 in words is "three trillion, eight hundred seventy-four billion, nine hundred twenty-six million, four hundred twenty-three thousand, three hundred twelve".