3925813731840 has 5760 divisors, whose sum is σ = 21071131361280. Its totient is φ = 649750118400.

The previous prime is 3925813731817. The next prime is 3925813731869. The reversal of 3925813731840 is 481373185293.

3925813731840 is a `hidden beast` number, since 3 + 9 + 2 + 581 + 3 + 7 + 3 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 126639152625 + ... + 126639152655.

It is an arithmetic number, because the mean of its divisors is an integer number (3658182528).

Almost surely, 2^{3925813731840} is an apocalyptic number.

3925813731840 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 3925813731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535565680640).

3925813731840 is an abundant number, since it is smaller than the sum of its proper divisors (17145317629440).

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

3925813731840 is a wasteful number, since it uses less digits than its factorization.

3925813731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3925813731840 in words is "three trillion, nine hundred twenty-five billion, eight hundred thirteen million, seven hundred thirty-one thousand, eight hundred forty".