3912363786240 has 720 divisors, whose sum is σ = 16692528984768. Its totient is φ = 825451610112.

The previous prime is 3912363786239. The next prime is 3912363786343. The reversal of 3912363786240 is 426873632193.

3912363786240 is a `hidden beast` number, since 3 + 9 + 1 + 2 + 3 + 6 + 3 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 67063324 + ... + 67121636.

Almost surely, 2^{3912363786240} is an apocalyptic number.

3912363786240 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 3912363786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346264492384).

3912363786240 is an abundant number, since it is smaller than the sum of its proper divisors (12780165198528).

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

3912363786240 is a wasteful number, since it uses less digits than its factorization.

3912363786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58372 (or 58343 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3912363786240 in words is "three trillion, nine hundred twelve billion, three hundred sixty-three million, seven hundred eighty-six thousand, two hundred forty".