3873151617280 has 1152 divisors, whose sum is σ = 11515837132800. Its totient is φ = 1231817932800.

The previous prime is 3873151617271. The next prime is 3873151617289. The reversal of 3873151617280 is 827161513783.

It is an interprime number because it is at equal distance from previous prime (3873151617271) and next prime (3873151617289).

It is not an unprimeable number, because it can be changed into a prime (3873151617289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29566042815 + ... + 29566042945.

It is an arithmetic number, because the mean of its divisors is an integer number (9996386400).

Almost surely, 2^{3873151617280} 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 3873151617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757918566400).

3873151617280 is an abundant number, since it is smaller than the sum of its proper divisors (7642685515520).

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

3873151617280 is a wasteful number, since it uses less digits than its factorization.

3873151617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 3873151617280 in words is "three trillion, eight hundred seventy-three billion, one hundred fifty-one million, six hundred seventeen thousand, two hundred eighty".