3877049418000 has 1280 divisors, whose sum is σ = 14692922449920. Its totient is φ = 870211584000.

The previous prime is 3877049417999. The next prime is 3877049418017. The reversal of 3877049418000 is 8149407783.

It is a super-2 number, since 2×3877049418000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6538025704 + ... + 6538026296.

It is an arithmetic number, because the mean of its divisors is an integer number (11478845664).

Almost surely, 2^{3877049418000} is an apocalyptic number.

3877049418000 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 3877049418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346461224960).

3877049418000 is an abundant number, since it is smaller than the sum of its proper divisors (10815873031920).

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

3877049418000 is a wasteful number, since it uses less digits than its factorization.

3877049418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 3877049418000 in words is "three trillion, eight hundred seventy-seven billion, forty-nine million, four hundred eighteen thousand".