3877814304 has 768 divisors, whose sum is σ = 15100968960. Its totient is φ = 940584960.

The previous prime is 3877814287. The next prime is 3877814351. The reversal of 3877814304 is 4034187783.

It is a self number, because there is not a number n which added to its sum of digits gives 3877814304.

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 127 ways as a sum of consecutive naturals, for example, 90181707 + ... + 90181749.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^3877814304 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 3877814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550484480).

3877814304 is an abundant number, since it is smaller than the sum of its proper divisors (11223154656).

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

3877814304 is a wasteful number, since it uses less digits than its factorization.

3877814304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3877814304 is about 62272.0989207847. The cubic root of 3877814304 is about 1571.0704836462.

The spelling of 3877814304 in words is "three billion, eight hundred seventy-seven million, eight hundred fourteen thousand, three hundred four".