3942842100288 has 1344 divisors, whose sum is σ = 13912934547456. Its totient is φ = 975421440000.

The previous prime is 3942842100287. The next prime is 3942842100299. The reversal of 3942842100288 is 8820012482493.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3942842100288.

It is not an unprimeable number, because it can be changed into a prime (3942842100287) 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, 26111537013 + ... + 26111537163.

It is an arithmetic number, because the mean of its divisors is an integer number (10351885824).

Almost surely, 2^{3942842100288} 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 3942842100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956467273728).

3942842100288 is an abundant number, since it is smaller than the sum of its proper divisors (9970092447168).

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

3942842100288 is a wasteful number, since it uses less digits than its factorization.

3942842100288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 3942842100288 in words is "three trillion, nine hundred forty-two billion, eight hundred forty-two million, one hundred thousand, two hundred eighty-eight".