3823381609344 has 1024 divisors, whose sum is σ = 13271653785600. Its totient is φ = 1072521216000.

The previous prime is 3823381609337. The next prime is 3823381609423. The reversal of 3823381609344 is 4439061833283.

3823381609344 is a `hidden beast` number, since 3 + 8 + 23 + 3 + 8 + 1 + 609 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×3823381609344² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2560871062 + ... + 2560872554.

It is an arithmetic number, because the mean of its divisors is an integer number (12960599400).

Almost surely, 2^{3823381609344} 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 3823381609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635826892800).

3823381609344 is an abundant number, since it is smaller than the sum of its proper divisors (9448272176256).

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

3823381609344 is a wasteful number, since it uses less digits than its factorization.

3823381609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3823381609344 in words is "three trillion, eight hundred twenty-three billion, three hundred eighty-one million, six hundred nine thousand, three hundred forty-four".