3925003908672 has 2688 divisors, whose sum is σ = 16396972032000. Its totient is φ = 896690995200.

The previous prime is 3925003908607. The next prime is 3925003908689. The reversal of 3925003908672 is 2768093005293.

It is a happy number.

3925003908672 is a `hidden beast` number, since 39 + 2 + 500 + 39 + 0 + 8 + 6 + 72 = 666.

3925003908672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3925003908672³ (a number of 39 digits) contains 333 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25000024818 + ... + 25000024974.

It is an arithmetic number, because the mean of its divisors is an integer number (6100064000).

Almost surely, 2^{3925003908672} is an apocalyptic number.

3925003908672 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 3925003908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198486016000).

3925003908672 is an abundant number, since it is smaller than the sum of its proper divisors (12471968123328).

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

3925003908672 is a wasteful number, since it uses less digits than its factorization.

3925003908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3925003908672 in words is "three trillion, nine hundred twenty-five billion, three million, nine hundred eight thousand, six hundred seventy-two".