3840508834240 has 224 divisors, whose sum is σ = 10102662226944. Its totient is φ = 1381733191680.

The previous prime is 3840508834231. The next prime is 3840508834249. The reversal of 3840508834240 is 424388050483.

It is an interprime number because it is at equal distance from previous prime (3840508834231) and next prime (3840508834249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840508834249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44339775 + ... + 44426305.

It is an arithmetic number, because the mean of its divisors is an integer number (45101170656).

Almost surely, 2^{3840508834240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840508834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051331113472).

3840508834240 is an abundant number, since it is smaller than the sum of its proper divisors (6262153392704).

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

3840508834240 is a wasteful number, since it uses less digits than its factorization.

3840508834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86835 (or 86825 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The spelling of 3840508834240 in words is "three trillion, eight hundred forty billion, five hundred eight million, eight hundred thirty-four thousand, two hundred forty".