3830189760000 has 1600 divisors, whose sum is σ = 15221203905600. Its totient is φ = 947257344000.

The previous prime is 3830189759989. The next prime is 3830189760049. The reversal of 3830189760000 is 679810383.

It is a happy number.

3830189760000 is a `hidden beast` number, since 3 + 8 + 30 + 1 + 8 + 9 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13072319854 + ... + 13072320146.

It is an arithmetic number, because the mean of its divisors is an integer number (9513252441).

Almost surely, 2^{3830189760000} is an apocalyptic number.

3830189760000 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 3830189760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610601952800).

3830189760000 is an abundant number, since it is smaller than the sum of its proper divisors (11391014145600).

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

3830189760000 is an equidigital number, since it uses as much as digits as its factorization.

3830189760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3830189760000 in words is "three trillion, eight hundred thirty billion, one hundred eighty-nine million, seven hundred sixty thousand".