3923534827008 has 320 divisors, whose sum is σ = 11871815155200. Its totient is φ = 1295109347328.

The previous prime is 3923534826979. The next prime is 3923534827067. The reversal of 3923534827008 is 8007284353293.

3923534827008 is a `hidden beast` number, since 3 + 9 + 23 + 5 + 348 + 270 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115316623 + ... + 115350641.

It is an arithmetic number, because the mean of its divisors is an integer number (37099422360).

Almost surely, 2^{3923534827008} 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 3923534827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935907577600).

3923534827008 is an abundant number, since it is smaller than the sum of its proper divisors (7948280328192).

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

3923534827008 is an frugal number, since it uses more digits than its factorization.

3923534827008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3923534827008 in words is "three trillion, nine hundred twenty-three billion, five hundred thirty-four million, eight hundred twenty-seven thousand, eight".