3913870329600 has 3456 divisors, whose sum is σ = 17939331809280. Its totient is φ = 727474176000.

The previous prime is 3913870329571. The next prime is 3913870329601. The reversal of 3913870329600 is 69230783193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913870329601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49542662361 + ... + 49542662439.

It is an arithmetic number, because the mean of its divisors is an integer number (5190778880).

Almost surely, 2^{3913870329600} is an apocalyptic number.

3913870329600 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 3913870329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969665904640).

3913870329600 is an abundant number, since it is smaller than the sum of its proper divisors (14025461479680).

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

3913870329600 is a wasteful number, since it uses less digits than its factorization.

3913870329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 3913870329600 in words is "three trillion, nine hundred thirteen billion, eight hundred seventy million, three hundred twenty-nine thousand, six hundred".