3916125813600 has 2304 divisors, whose sum is σ = 19291885240320. Its totient is φ = 740275200000.

The previous prime is 3916125813559. The next prime is 3916125813623. The reversal of 3916125813600 is 63185216193.

3916125813600 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 1 + 2 + 581 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1535132325 + ... + 1535134875.

It is an arithmetic number, because the mean of its divisors is an integer number (8373214080).

Almost surely, 2^{3916125813600} is an apocalyptic number.

3916125813600 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 3916125813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645942620160).

3916125813600 is an abundant number, since it is smaller than the sum of its proper divisors (15375759426720).

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

3916125813600 is a wasteful number, since it uses less digits than its factorization.

3916125813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 3916125813600 in words is "three trillion, nine hundred sixteen billion, one hundred twenty-five million, eight hundred thirteen thousand, six hundred".