3819666000 has 160 divisors (see below), whose sum is σ = 12443453568. Its totient is φ = 1007923200.

The previous prime is 3819665977. The next prime is 3819666041. The reversal of 3819666000 is 6669183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3819666000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578719 + ... + 585281.

Almost surely, 2^3819666000 is an apocalyptic number.

3819666000 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 3819666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221726784).

3819666000 is an abundant number, since it is smaller than the sum of its proper divisors (8623787568).

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

3819666000 is a wasteful number, since it uses less digits than its factorization.

3819666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3819666000 is about 61803.4465058382. The cubic root of 3819666000 is about 1563.1781035365.

It can be divided in two parts, 38196 and 66000, that added together give a triangular number (104196 = T₄₅₆).

The spelling of 3819666000 in words is "three billion, eight hundred nineteen million, six hundred sixty-six thousand".