3868174128 has 320 divisors, whose sum is σ = 13083607040. Its totient is φ = 956261376.

The previous prime is 3868174127. The next prime is 3868174133. The reversal of 3868174128 is 8214718683.

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 (3868174127) 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, 10539801 + ... + 10540167.

It is an arithmetic number, because the mean of its divisors is an integer number (40886272).

Almost surely, 2^3868174128 is an apocalyptic number.

3868174128 is a gapful number since it is divisible by the number (38) 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 3868174128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541803520).

3868174128 is an abundant number, since it is smaller than the sum of its proper divisors (9215432912).

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

3868174128 is a wasteful number, since it uses less digits than its factorization.

3868174128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 3868174128 is about 62194.6471008559. The cubic root of 3868174128 is about 1569.7675190947.

The spelling of 3868174128 in words is "three billion, eight hundred sixty-eight million, one hundred seventy-four thousand, one hundred twenty-eight".