3821917248240 has 480 divisors, whose sum is σ = 14684417994240. Its totient is φ = 805161037824.

The previous prime is 3821917248221. The next prime is 3821917248241. The reversal of 3821917248240 is 428427191283.

It is a happy number.

3821917248240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821917248241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193907506 + ... + 193927214.

It is an arithmetic number, because the mean of its divisors is an integer number (30592537488).

Almost surely, 2^{3821917248240} is an apocalyptic number.

3821917248240 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 3821917248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342208997120).

3821917248240 is an abundant number, since it is smaller than the sum of its proper divisors (10862500746000).

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

3821917248240 is a wasteful number, since it uses less digits than its factorization.

3821917248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20441 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 3821917248240 in words is "three trillion, eight hundred twenty-one billion, nine hundred seventeen million, two hundred forty-eight thousand, two hundred forty".