3918328675200 has 576 divisors, whose sum is σ = 14452474982400. Its totient is φ = 1009783296000.

The previous prime is 3918328675147. The next prime is 3918328675201. The reversal of 3918328675200 is 25768238193.

3918328675200 is a `hidden beast` number, since 3 + 9 + 1 + 8 + 32 + 86 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918328675201) 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 71 ways as a sum of consecutive naturals, for example, 749056585 + ... + 749061815.

It is an arithmetic number, because the mean of its divisors is an integer number (25091102400).

Almost surely, 2^{3918328675200} is an apocalyptic number.

3918328675200 is a gapful number since it is divisible by the number (30) 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 3918328675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226237491200).

3918328675200 is an abundant number, since it is smaller than the sum of its proper divisors (10534146307200).

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

3918328675200 is a wasteful number, since it uses less digits than its factorization.

3918328675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3918328675200 in words is "three trillion, nine hundred eighteen billion, three hundred twenty-eight million, six hundred seventy-five thousand, two hundred".