3844522967040 has 1088 divisors, whose sum is σ = 16307329536000. Its totient is φ = 840230240256.

The previous prime is 3844522966883. The next prime is 3844522967101. The reversal of 3844522967040 is 407692254483.

It is a happy number.

3844522967040 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 522 + 9 + 6 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1424423611 + ... + 1424426309.

Almost surely, 2^{3844522967040} is an apocalyptic number.

3844522967040 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 3844522967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153664768000).

3844522967040 is an abundant number, since it is smaller than the sum of its proper divisors (12462806568960).

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

3844522967040 is an equidigital number, since it uses as much as digits as its factorization.

3844522967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3844522967040 in words is "three trillion, eight hundred forty-four billion, five hundred twenty-two million, nine hundred sixty-seven thousand, forty".