3877177472 has 64 divisors (see below), whose sum is σ = 8886272640. Its totient is φ = 1650585600.

The previous prime is 3877177463. The next prime is 3877177477. The reversal of 3877177472 is 2747717783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3877177472³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3877177477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120968 + ... + 149624.

It is an arithmetic number, because the mean of its divisors is an integer number (138848010).

Almost surely, 2^3877177472 is an apocalyptic number.

3877177472 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 3877177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443136320).

3877177472 is an abundant number, since it is smaller than the sum of its proper divisors (5009095168).

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

3877177472 is a wasteful number, since it uses less digits than its factorization.

3877177472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829 (or 28817 counting only the distinct ones).

The product of its digits is 3226944, while the sum is 53.

The square root of 3877177472 is about 62266.9854096053. The cubic root of 3877177472 is about 1570.9844761985.

The spelling of 3877177472 in words is "three billion, eight hundred seventy-seven million, one hundred seventy-seven thousand, four hundred seventy-two".