3731310895104 has 504 divisors, whose sum is σ = 11997299603016. Its totient is φ = 1110786048000.

The previous prime is 3731310895079. The next prime is 3731310895139. The reversal of 3731310895104 is 4015980131373.

3731310895104 is a `hidden beast` number, since 37 + 3 + 13 + 10 + 89 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3731310895104.

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 35 ways as a sum of consecutive naturals, for example, 921081879 + ... + 921085929.

It is an arithmetic number, because the mean of its divisors is an integer number (23804165879).

Almost surely, 2^{3731310895104} 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 3731310895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998649801508).

3731310895104 is an abundant number, since it is smaller than the sum of its proper divisors (8265988707912).

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

3731310895104 is a wasteful number, since it uses less digits than its factorization.

3731310895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3731310895104 in words is "three trillion, seven hundred thirty-one billion, three hundred ten million, eight hundred ninety-five thousand, one hundred four".