3877113600 has 432 divisors, whose sum is σ = 14444457440. Its totient is φ = 1030164480.

The previous prime is 3877113523. The next prime is 3877113607. The reversal of 3877113600 is 63117783.

3877113600 is a `hidden beast` number, since 38 + 7 + 7 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877113607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13996662 + ... + 13996938.

Almost surely, 2^3877113600 is an apocalyptic number.

3877113600 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 3877113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222228720).

3877113600 is an abundant number, since it is smaller than the sum of its proper divisors (10567343840).

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

3877113600 is an frugal number, since it uses more digits than its factorization.

3877113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3877113600 is about 62266.4725193262. The cubic root of 3877113600 is about 1570.9758494357.

The spelling of 3877113600 in words is "three billion, eight hundred seventy-seven million, one hundred thirteen thousand, six hundred".