3827383000 has 128 divisors (see below), whose sum is σ = 10292181120. Its totient is φ = 1304985600.

The previous prime is 3827382997. The next prime is 3827383019. The reversal of 3827383000 is 3837283.

It is a happy number.

It is a congruent number.

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, 1349584 + ... + 1352416.

It is an arithmetic number, because the mean of its divisors is an integer number (80407665).

Almost surely, 2^3827383000 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 3827383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146090560).

3827383000 is an abundant number, since it is smaller than the sum of its proper divisors (6464798120).

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

3827383000 is a wasteful number, since it uses less digits than its factorization.

3827383000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3827383000 is about 61865.8467977284. The cubic root of 3827383000 is about 1564.2301091951.

The spelling of 3827383000 in words is "three billion, eight hundred twenty-seven million, three hundred eighty-three thousand".