3874148538128 has 120 divisors (see below), whose sum is σ = 8580407122368. Its totient is φ = 1680163296000.

The previous prime is 3874148538023. The next prime is 3874148538149. The reversal of 3874148538128 is 8218358414783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 23 ways as a sum of consecutive naturals, for example, 11847350 + ... + 12169962.

Almost surely, 2^{3874148538128} 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 3874148538128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290203561184).

3874148538128 is an abundant number, since it is smaller than the sum of its proper divisors (4706258584240).

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

3874148538128 is a wasteful number, since it uses less digits than its factorization.

3874148538128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322765 (or 322728 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 62.

The spelling of 3874148538128 in words is "three trillion, eight hundred seventy-four billion, one hundred forty-eight million, five hundred thirty-eight thousand, one hundred twenty-eight".