3877272000 has 672 divisors, whose sum is σ = 16277539200. Its totient is φ = 880588800.

The previous prime is 3877271953. The next prime is 3877272011. The reversal of 3877272000 is 2727783.

3877272000 is a `hidden beast` number, since 387 + 7 + 272 + 0 + 0 + 0 = 666.

3877272000 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 tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695922 + ... + 24696078.

Almost surely, 2^3877272000 is an apocalyptic number.

3877272000 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 3877272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138769600).

3877272000 is an abundant number, since it is smaller than the sum of its proper divisors (12400267200).

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

3877272000 is a wasteful number, since it uses less digits than its factorization.

3877272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 3877272000 is about 62267.7444589091. The cubic root of 3877272000 is about 1570.9972432879.

Adding to 3877272000 its reverse (2727783), we get a palindrome (3879999783).

The spelling of 3877272000 in words is "three billion, eight hundred seventy-seven million, two hundred seventy-two thousand".