3823980003000 has 512 divisors, whose sum is σ = 13413119616000. Its totient is φ = 1007732275200.

The previous prime is 3823980002981. The next prime is 3823980003017. The reversal of 3823980003000 is 3000893283.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156327347 + ... + 1156330653.

It is an arithmetic number, because the mean of its divisors is an integer number (26197499250).

Almost surely, 2^{3823980003000} is an apocalyptic number.

3823980003000 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 3823980003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706559808000).

3823980003000 is an abundant number, since it is smaller than the sum of its proper divisors (9589139613000).

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

3823980003000 is a wasteful number, since it uses less digits than its factorization.

3823980003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 3823980003000 its reverse (3000893283), we get a palindrome (3826980896283).

The spelling of 3823980003000 in words is "three trillion, eight hundred twenty-three billion, nine hundred eighty million, three thousand".