3843615321000 has 3072 divisors, whose sum is σ = 17639451648000. Its totient is φ = 775982592000.

The previous prime is 3843615320953. The next prime is 3843615321023. The reversal of 3843615321000 is 1235163483.

3843615321000 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 615 + 32 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 43186688956 + ... + 43186689044.

It is an arithmetic number, because the mean of its divisors is an integer number (5742009000).

Almost surely, 2^{3843615321000} is an apocalyptic number.

3843615321000 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 3843615321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819725824000).

3843615321000 is an abundant number, since it is smaller than the sum of its proper divisors (13795836327000).

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

3843615321000 is a wasteful number, since it uses less digits than its factorization.

3843615321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3843615321000 in words is "three trillion, eight hundred forty-three billion, six hundred fifteen million, three hundred twenty-one thousand".