3803338990080 has 1280 divisors, whose sum is σ = 16461232128000. Its totient is φ = 812999835648.

The previous prime is 3803338990069. The next prime is 3803338990093. The reversal of 3803338990080 is 800998333083.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 3803338989999 and 3803338990026.

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 127 ways as a sum of consecutive naturals, for example, 726241222 + ... + 726246458.

It is an arithmetic number, because the mean of its divisors is an integer number (12860337600).

Almost surely, 2^{3803338990080} is an apocalyptic number.

3803338990080 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 3803338990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230616064000).

3803338990080 is an abundant number, since it is smaller than the sum of its proper divisors (12657893137920).

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

3803338990080 is a wasteful number, since it uses less digits than its factorization.

3803338990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3803338990080 in words is "three trillion, eight hundred three billion, three hundred thirty-eight million, nine hundred ninety thousand, eighty".