3877346880 has 392 divisors, whose sum is σ = 15111520704. Its totient is φ = 939340800.

The previous prime is 3877346867. The next prime is 3877346887. The reversal of 3877346880 is 886437783.

3877346880 is a `hidden beast` number, since 38 + 7 + 73 + 468 + 80 = 666.

3877346880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3877346887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565325 + ... + 2566835.

Almost surely, 2^3877346880 is an apocalyptic number.

3877346880 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 3877346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555760352).

3877346880 is an abundant number, since it is smaller than the sum of its proper divisors (11234173824).

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

3877346880 is a wasteful number, since it uses less digits than its factorization.

3877346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3877346880 is about 62268.3457303950. The cubic root of 3877346880 is about 1571.0073565424.

The spelling of 3877346880 in words is "three billion, eight hundred seventy-seven million, three hundred forty-six thousand, eight hundred eighty".