3874731168 has 384 divisors, whose sum is σ = 13473202176. Its totient is φ = 945561600.

The previous prime is 3874731167. The next prime is 3874731181. The reversal of 3874731168 is 8611374783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3874731167) 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 63 ways as a sum of consecutive naturals, for example, 8478396 + ... + 8478852.

It is an arithmetic number, because the mean of its divisors is an integer number (35086464).

Almost surely, 2^3874731168 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 3874731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736601088).

3874731168 is an abundant number, since it is smaller than the sum of its proper divisors (9598471008).

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

3874731168 is a wasteful number, since it uses less digits than its factorization.

3874731168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 3874731168 is about 62247.3386419050. The cubic root of 3874731168 is about 1570.6540026183.

The spelling of 3874731168 in words is "three billion, eight hundred seventy-four million, seven hundred thirty-one thousand, one hundred sixty-eight".