3819942000 has 720 divisors, whose sum is σ = 15996636864. Its totient is φ = 846720000.

The previous prime is 3819941999. The next prime is 3819942011. The reversal of 3819942000 is 2499183.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53801965 + ... + 53802035.

Almost surely, 2^3819942000 is an apocalyptic number.

3819942000 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 3819942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998318432).

3819942000 is an abundant number, since it is smaller than the sum of its proper divisors (12176694864).

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

3819942000 is a wasteful number, since it uses less digits than its factorization.

3819942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3819942000 is about 61805.6793506875. The cubic root of 3819942000 is about 1563.2157531430.

The spelling of 3819942000 in words is "three billion, eight hundred nineteen million, nine hundred forty-two thousand".