3943812704832 has 3584 divisors, whose sum is σ = 17478451200000. Its totient is φ = 855932313600.

The previous prime is 3943812704809. The next prime is 3943812704861. The reversal of 3943812704832 is 2384072183493.

It is a happy number.

3943812704832 is a `hidden beast` number, since 3 + 9 + 4 + 38 + 127 + 0 + 483 + 2 = 666.

It is a super-2 number, since 2×3943812704832² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 49921679769 + ... + 49921679847.

It is an arithmetic number, because the mean of its divisors is an integer number (4876800000).

Almost surely, 2^{3943812704832} is an apocalyptic number.

3943812704832 is a gapful number since it is divisible by the number (32) 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 3943812704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739225600000).

3943812704832 is an abundant number, since it is smaller than the sum of its proper divisors (13534638495168).

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

3943812704832 is a wasteful number, since it uses less digits than its factorization.

3943812704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3943812704832 in words is "three trillion, nine hundred forty-three billion, eight hundred twelve million, seven hundred four thousand, eight hundred thirty-two".