3923138025072 has 720 divisors, whose sum is σ = 13934183155200. Its totient is φ = 1053527005440.

The previous prime is 3923138025067. The next prime is 3923138025073. The reversal of 3923138025072 is 2705208313293.

3923138025072 is a `hidden beast` number, since 3 + 9 + 2 + 3 + 138 + 0 + 2 + 507 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923138025073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001053929 + ... + 1001057847.

It is an arithmetic number, because the mean of its divisors is an integer number (19353032160).

Almost surely, 2^{3923138025072} 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 3923138025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967091577600).

3923138025072 is an abundant number, since it is smaller than the sum of its proper divisors (10011045130128).

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

3923138025072 is a wasteful number, since it uses less digits than its factorization.

3923138025072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3923138025072 in words is "three trillion, nine hundred twenty-three billion, one hundred thirty-eight million, twenty-five thousand, seventy-two".