3877300224 has 504 divisors, whose sum is σ = 13776620130. Its totient is φ = 1086898176.

The previous prime is 3877300213. The next prime is 3877300237. The reversal of 3877300224 is 4220037783.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 914457600 = 54432^2 + 30240^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 73156582 + ... + 73156634.

Almost surely, 2^3877300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888310065).

3877300224 is an abundant number, since it is smaller than the sum of its proper divisors (9899319906).

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

3877300224 is an frugal number, since it uses more digits than its factorization.

3877300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3877300224 is about 62267.9710926894. The cubic root of 3877300224 is about 1571.0010552222.

The spelling of 3877300224 in words is "three billion, eight hundred seventy-seven million, three hundred thousand, two hundred twenty-four".