3874027111416 has 192 divisors, whose sum is σ = 13656125664000. Its totient is φ = 1006240777920.

The previous prime is 3874027111411. The next prime is 3874027111429. The reversal of 3874027111416 is 6141117204783.

3874027111416 is a `hidden beast` number, since 3 + 87 + 40 + 2 + 7 + 111 + 416 = 666.

3874027111416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874027111411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16521156 + ... + 16754003.

It is an arithmetic number, because the mean of its divisors is an integer number (71125654500).

Almost surely, 2^{3874027111416} is an apocalyptic number.

3874027111416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3874027111416 is an abundant number, since it is smaller than the sum of its proper divisors (9782098552584).

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

3874027111416 is a wasteful number, since it uses less digits than its factorization.

3874027111416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33275199 (or 33275182 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 3874027111416 in words is "three trillion, eight hundred seventy-four billion, twenty-seven million, one hundred eleven thousand, four hundred sixteen".