3925373963520 has 288 divisors, whose sum is σ = 13034866965120. Its totient is φ = 1005535068160.

The previous prime is 3925373963519. The next prime is 3925373963527. The reversal of 3925373963520 is 253693735293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925373963527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21848455 + ... + 22027385.

It is an arithmetic number, because the mean of its divisors is an integer number (45259954740).

Almost surely, 2^{3925373963520} is an apocalyptic number.

3925373963520 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 3925373963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517433482560).

3925373963520 is an abundant number, since it is smaller than the sum of its proper divisors (9109493001600).

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

3925373963520 is a wasteful number, since it uses less digits than its factorization.

3925373963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179181 (or 179167 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 57.

The spelling of 3925373963520 in words is "three trillion, nine hundred twenty-five billion, three hundred seventy-three million, nine hundred sixty-three thousand, five hundred twenty".