3840818257920 has 1344 divisors, whose sum is σ = 15297496496640. Its totient is φ = 817562124288.

The previous prime is 3840818257909. The next prime is 3840818257943. The reversal of 3840818257920 is 297528180483.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 16070369161 + ... + 16070369399.

Almost surely, 2^{3840818257920} is an apocalyptic number.

3840818257920 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 3840818257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648748248320).

3840818257920 is an abundant number, since it is smaller than the sum of its proper divisors (11456678238720).

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

3840818257920 is a wasteful number, since it uses less digits than its factorization.

3840818257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 3840818257920 in words is "three trillion, eight hundred forty billion, eight hundred eighteen million, two hundred fifty-seven thousand, nine hundred twenty".