3877816320 has 288 divisors, whose sum is σ = 15362343360. Its totient is φ = 886210560.

The previous prime is 3877816309. The next prime is 3877816333. The reversal of 3877816320 is 236187783.

3877816320 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 642115 + ... + 648125.

It is an arithmetic number, because the mean of its divisors is an integer number (53341470).

Almost surely, 2^3877816320 is an apocalyptic number.

3877816320 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 3877816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681171680).

3877816320 is an abundant number, since it is smaller than the sum of its proper divisors (11484527040).

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

3877816320 is a wasteful number, since it uses less digits than its factorization.

3877816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3877816320 is about 62272.1151078073. The cubic root of 3877816320 is about 1571.0707559024.

The spelling of 3877816320 in words is "three billion, eight hundred seventy-seven million, eight hundred sixteen thousand, three hundred twenty".