3844350642240 has 560 divisors, whose sum is σ = 14137726546944. Its totient is φ = 990575308800.

The previous prime is 3844350642193. The next prime is 3844350642281. The reversal of 3844350642240 is 422460534483.

3844350642240 is a `hidden beast` number, since 3 + 84 + 4 + 3 + 506 + 4 + 22 + 40 = 666.

It is a super-2 number, since 2×3844350642240² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 584155750 + ... + 584162330.

Almost surely, 2^{3844350642240} is an apocalyptic number.

3844350642240 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 3844350642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068863273472).

3844350642240 is an abundant number, since it is smaller than the sum of its proper divisors (10293375904704).

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

3844350642240 is a wasteful number, since it uses less digits than its factorization.

3844350642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 3844350642240 in words is "three trillion, eight hundred forty-four billion, three hundred fifty million, six hundred forty-two thousand, two hundred forty".