3726365854464 has 864 divisors, whose sum is σ = 12954551500800. Its totient is φ = 1017474048000.

The previous prime is 3726365854451. The next prime is 3726365854469. The reversal of 3726365854464 is 4644585636273.

3726365854464 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 3 + 6 + 585 + 4 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3726365854469) 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, 880727229 + ... + 880731459.

Almost surely, 2^{3726365854464} 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 3726365854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477275750400).

3726365854464 is an abundant number, since it is smaller than the sum of its proper divisors (9228185646336).

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

3726365854464 is a wasteful number, since it uses less digits than its factorization.

3726365854464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4356 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 63.

The spelling of 3726365854464 in words is "three trillion, seven hundred twenty-six billion, three hundred sixty-five million, eight hundred fifty-four thousand, four hundred sixty-four".