3876664000 has 112 divisors (see below), whose sum is σ = 10473574176. Its totient is φ = 1409664000.

The previous prime is 3876663983. The next prime is 3876664061. The reversal of 3876664000 is 4666783.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 65974 + ... + 110026.

Almost surely, 2^3876664000 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 3876664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236787088).

3876664000 is an abundant number, since it is smaller than the sum of its proper divisors (6596910176).

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

3876664000 is a wasteful number, since it uses less digits than its factorization.

3876664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44091 (or 44071 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3876664000 is about 62262.8621250260. The cubic root of 3876664000 is about 1570.9151222970.

The spelling of 3876664000 in words is "three billion, eight hundred seventy-six million, six hundred sixty-four thousand".