3877413496320 has 1920 divisors, whose sum is σ = 16486536794112. Its totient is φ = 769189478400.

The previous prime is 3877413496303. The next prime is 3877413496387. The reversal of 3877413496320 is 236943147783.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5611307175 + ... + 5611307865.

Almost surely, 2^{3877413496320} is an apocalyptic number.

3877413496320 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 3877413496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243268397056).

3877413496320 is an abundant number, since it is smaller than the sum of its proper divisors (12609123297792).

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

3877413496320 is a wasteful number, since it uses less digits than its factorization.

3877413496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 3877413496320 in words is "three trillion, eight hundred seventy-seven billion, four hundred thirteen million, four hundred ninety-six thousand, three hundred twenty".