3874166496 has 144 divisors (see below), whose sum is σ = 11518101504. Its totient is φ = 1280893824.

The previous prime is 3874166479. The next prime is 3874166507. The reversal of 3874166496 is 6946614783.

3874166496 is a `hidden beast` number, since 3 + 87 + 416 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985591 + ... + 989513.

It is an arithmetic number, because the mean of its divisors is an integer number (79986816).

Almost surely, 2^3874166496 is an apocalyptic number.

3874166496 is a gapful number since it is divisible by the number (36) 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 3874166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759050752).

3874166496 is an abundant number, since it is smaller than the sum of its proper divisors (7643935008).

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

3874166496 is a wasteful number, since it uses less digits than its factorization.

3874166496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4055 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3874166496 is about 62242.8027646571. The cubic root of 3874166496 is about 1570.5777007722.

The spelling of 3874166496 in words is "three billion, eight hundred seventy-four million, one hundred sixty-six thousand, four hundred ninety-six".