3877327872 has 528 divisors, whose sum is σ = 13503649600. Its totient is φ = 1094860800.

The previous prime is 3877327859. The next prime is 3877327873. The reversal of 3877327872 is 2787237783.

It is a tau number, because it is divible by the number of its divisors (528).

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

Its product of digits (5531904) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877327873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63562722 + ... + 63562782.

Almost surely, 2^3877327872 is an apocalyptic number.

3877327872 is a gapful number since it is divisible by the number (32) 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 3877327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751824800).

3877327872 is an abundant number, since it is smaller than the sum of its proper divisors (9626321728).

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

3877327872 is a wasteful number, since it uses less digits than its factorization.

3877327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 3877327872 is about 62268.1931004907. The cubic root of 3877327872 is about 1571.0047893440.

The spelling of 3877327872 in words is "three billion, eight hundred seventy-seven million, three hundred twenty-seven thousand, eight hundred seventy-two".