3923006536800 has 1152 divisors, whose sum is σ = 16882289464320. Its totient is φ = 869319475200.

The previous prime is 3923006536753. The next prime is 3923006536843. The reversal of 3923006536800 is 86356003293.

3923006536800 is a `hidden beast` number, since 3 + 9 + 2 + 30 + 0 + 6 + 536 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 109774935 + ... + 109810665.

It is an arithmetic number, because the mean of its divisors is an integer number (14654765160).

Almost surely, 2^{3923006536800} is an apocalyptic number.

3923006536800 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 3923006536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441144732160).

3923006536800 is an abundant number, since it is smaller than the sum of its proper divisors (12959282927520).

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

3923006536800 is a wasteful number, since it uses less digits than its factorization.

3923006536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35813 (or 35794 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3923006536800 in words is "three trillion, nine hundred twenty-three billion, six million, five hundred thirty-six thousand, eight hundred".