3806122089000 has 384 divisors, whose sum is σ = 15069707752320. Its totient is φ = 790882176000.

The previous prime is 3806122088939. The next prime is 3806122089031. The reversal of 3806122089000 is 9802216083.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3806122089000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440092 + ... + 2793908.

It is an arithmetic number, because the mean of its divisors is an integer number (39244030605).

Almost surely, 2^{3806122089000} is an apocalyptic number.

3806122089000 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 3806122089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534853876160).

3806122089000 is an abundant number, since it is smaller than the sum of its proper divisors (11263585663320).

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

3806122089000 is a wasteful number, since it uses less digits than its factorization.

3806122089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353866 (or 2353845 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 3806122089000 in words is "three trillion, eight hundred six billion, one hundred twenty-two million, eighty-nine thousand".