3836462724864 has 1728 divisors, whose sum is σ = 15119357460480. Its totient is φ = 940704399360.

The previous prime is 3836462724851. The next prime is 3836462724911. The reversal of 3836462724864 is 4684272646383.

3836462724864 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 462 + 72 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10686525517 + ... + 10686525875.

It is an arithmetic number, because the mean of its divisors is an integer number (8749628160).

Almost surely, 2^{3836462724864} 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 3836462724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559678730240).

3836462724864 is an abundant number, since it is smaller than the sum of its proper divisors (11282894735616).

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

3836462724864 is a wasteful number, since it uses less digits than its factorization.

3836462724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 502 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 3836462724864 in words is "three trillion, eight hundred thirty-six billion, four hundred sixty-two million, seven hundred twenty-four thousand, eight hundred sixty-four".