3936454308864 has 1056 divisors, whose sum is σ = 15057428585472. Its totient is φ = 997318656000.

The previous prime is 3936454308827. The next prime is 3936454308869. The reversal of 3936454308864 is 4688034546393.

3936454308864 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 4 + 543 + 0 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936454308869) 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 95 ways as a sum of consecutive naturals, for example, 785560119 + ... + 785565129.

Almost surely, 2^{3936454308864} 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 3936454308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528714292736).

3936454308864 is an abundant number, since it is smaller than the sum of its proper divisors (11120974276608).

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

3936454308864 is a wasteful number, since it uses less digits than its factorization.

3936454308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 3936454308864 in words is "three trillion, nine hundred thirty-six billion, four hundred fifty-four million, three hundred eight thousand, eight hundred sixty-four".