3826343854080 has 2160 divisors, whose sum is σ = 16397975149920. Its totient is φ = 842929274880.

The previous prime is 3826343854057. The next prime is 3826343854087. The reversal of 3826343854080 is 804583436283.

3826343854080 is a `hidden beast` number, since 3 + 8 + 2 + 63 + 4 + 38 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826343854087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131942891506 + ... + 131942891534.

It is an arithmetic number, because the mean of its divisors is an integer number (7591655162).

Almost surely, 2^{3826343854080} is an apocalyptic number.

3826343854080 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 3826343854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198987574960).

3826343854080 is an abundant number, since it is smaller than the sum of its proper divisors (12571631295840).

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

3826343854080 is a wasteful number, since it uses less digits than its factorization.

3826343854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3826343854080 in words is "three trillion, eight hundred twenty-six billion, three hundred forty-three million, eight hundred fifty-four thousand, eighty".