3874371137280 has 1296 divisors, whose sum is σ = 16179387666624. Its totient is φ = 852797030400.

The previous prime is 3874371137269. The next prime is 3874371137293. The reversal of 3874371137280 is 827311734783.

3874371137280 is a `hidden beast` number, since 387 + 4 + 3 + 7 + 113 + 72 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2151232380 + ... + 2151234180.

Almost surely, 2^{3874371137280} is an apocalyptic number.

3874371137280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874371137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089693833312).

3874371137280 is an abundant number, since it is smaller than the sum of its proper divisors (12305016529344).

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

3874371137280 is a wasteful number, since it uses less digits than its factorization.

3874371137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 3874371137280 in words is "three trillion, eight hundred seventy-four billion, three hundred seventy-one million, one hundred thirty-seven thousand, two hundred eighty".