3887343000 has 384 divisors, whose sum is σ = 14017536000. Its totient is φ = 968889600.

The previous prime is 3887342957. The next prime is 3887343037. The reversal of 3887343000 is 3437883.

3887343000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3887343000² = 30222871199298000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21716911 + ... + 21717089.

It is an arithmetic number, because the mean of its divisors is an integer number (36504000).

Almost surely, 2^3887343000 is an apocalyptic number.

3887343000 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 3887343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008768000).

3887343000 is an abundant number, since it is smaller than the sum of its proper divisors (10130193000).

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

3887343000 is a wasteful number, since it uses less digits than its factorization.

3887343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3887343000 is about 62348.5605286922. The cubic root of 3887343000 is about 1572.3562601832.

The spelling of 3887343000 in words is "three billion, eight hundred eighty-seven million, three hundred forty-three thousand".