3819049327800 has 1920 divisors, whose sum is σ = 16629873120000. Its totient is φ = 802710881280.

The previous prime is 3819049327777. The next prime is 3819049327801. The reversal of 3819049327800 is 87239409183.

3819049327800 is a `hidden beast` number, since 3 + 81 + 9 + 0 + 493 + 2 + 78 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819049327801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9114675991 + ... + 9114676409.

It is an arithmetic number, because the mean of its divisors is an integer number (8661392250).

Almost surely, 2^{3819049327800} is an apocalyptic number.

3819049327800 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 3819049327800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314936560000).

3819049327800 is an abundant number, since it is smaller than the sum of its proper divisors (12810823792200).

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

3819049327800 is a wasteful number, since it uses less digits than its factorization.

3819049327800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3819049327800 in words is "three trillion, eight hundred nineteen billion, forty-nine million, three hundred twenty-seven thousand, eight hundred".