3874138055280 has 640 divisors, whose sum is σ = 14652974649600. Its totient is φ = 948587397120.

The previous prime is 3874138055159. The next prime is 3874138055311. The reversal of 3874138055280 is 825508314783.

3874138055280 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 1 + 3 + 8 + 0 + 552 + 80 = 666.

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

It is a congruent number.

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, 121931236 + ... + 121963004.

It is an arithmetic number, because the mean of its divisors is an integer number (22895272890).

Almost surely, 2^{3874138055280} is an apocalyptic number.

3874138055280 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 3874138055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326487324800).

3874138055280 is an abundant number, since it is smaller than the sum of its proper divisors (10778836594320).

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

3874138055280 is a wasteful number, since it uses less digits than its factorization.

3874138055280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31861 (or 31837 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 3874138055280 in words is "three trillion, eight hundred seventy-four billion, one hundred thirty-eight million, fifty-five thousand, two hundred eighty".