3948925074048 has 640 divisors, whose sum is σ = 13115379340800. Its totient is φ = 1174118768640.

The previous prime is 3948925074041. The next prime is 3948925074071. The reversal of 3948925074048 is 8404705298493.

3948925074048 is a `hidden beast` number, since 3 + 9 + 4 + 89 + 2 + 507 + 4 + 0 + 48 = 666.

3948925074048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3948925074041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225941086 + ... + 225958562.

It is an arithmetic number, because the mean of its divisors is an integer number (20492780220).

Almost surely, 2^{3948925074048} is an apocalyptic number.

3948925074048 is a gapful number since it is divisible by the number (38) 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 3948925074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557689670400).

3948925074048 is an abundant number, since it is smaller than the sum of its proper divisors (9166454266752).

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

3948925074048 is a wasteful number, since it uses less digits than its factorization.

3948925074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17590 (or 17569 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3948925074048 in words is "three trillion, nine hundred forty-eight billion, nine hundred twenty-five million, seventy-four thousand, forty-eight".