3874158288 has 960 divisors, whose sum is σ = 16372285440. Its totient is φ = 846028800.

The previous prime is 3874158283. The next prime is 3874158307. The reversal of 3874158288 is 8828514783.

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

Its product of digits (3440640) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874158283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124972833 + ... + 124972863.

It is an arithmetic number, because the mean of its divisors is an integer number (17054464).

Almost surely, 2^3874158288 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 3874158288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186142720).

3874158288 is an abundant number, since it is smaller than the sum of its proper divisors (12498127152).

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

3874158288 is a wasteful number, since it uses less digits than its factorization.

3874158288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 3874158288 is about 62242.7368292880. The cubic root of 3874158288 is about 1570.5765916037.

The spelling of 3874158288 in words is "three billion, eight hundred seventy-four million, one hundred fifty-eight thousand, two hundred eighty-eight".