3887866000 has 160 divisors (see below), whose sum is σ = 10200284640. Its totient is φ = 1427456000.

The previous prime is 3887865977. The next prime is 3887866043. The reversal of 3887866000 is 6687883.

It can be written as a sum of positive squares in 16 ways, for example, as 2983781376 + 904084624 = 54624^2 + 30068^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392606 + ... + 1395394.

It is an arithmetic number, because the mean of its divisors is an integer number (63751779).

Almost surely, 2^3887866000 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 3887866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100142320).

3887866000 is an abundant number, since it is smaller than the sum of its proper divisors (6312418640).

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

3887866000 is a wasteful number, since it uses less digits than its factorization.

3887866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 3887866000 is about 62352.7545502202. The cubic root of 3887866000 is about 1572.4267715366.

The spelling of 3887866000 in words is "three billion, eight hundred eighty-seven million, eight hundred sixty-six thousand".