3840417282240 has 1120 divisors, whose sum is σ = 17127655953408. Its totient is φ = 793525248000.

The previous prime is 3840417282223. The next prime is 3840417282257. The reversal of 3840417282240 is 422827140483.

3840417282240 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 417 + 2 + 8 + 224 + 0 = 666.

3840417282240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3840417282223) and next prime (3840417282257).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 361241725 + ... + 361252355.

Almost surely, 2^{3840417282240} is an apocalyptic number.

3840417282240 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 3840417282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563827976704).

3840417282240 is an abundant number, since it is smaller than the sum of its proper divisors (13287238671168).

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

3840417282240 is a wasteful number, since it uses less digits than its factorization.

3840417282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 3840417282240 in words is "three trillion, eight hundred forty billion, four hundred seventeen million, two hundred eighty-two thousand, two hundred forty".