3833345816544 has 384 divisors, whose sum is σ = 10865792770560. Its totient is φ = 1179750334464.

The previous prime is 3833345816539. The next prime is 3833345816557. The reversal of 3833345816544 is 4456185433383.

It is a super-2 number, since 2×3833345816544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870832919 + ... + 4870833705.

It is an arithmetic number, because the mean of its divisors is an integer number (28296335340).

Almost surely, 2^{3833345816544} 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 3833345816544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432896385280).

3833345816544 is an abundant number, since it is smaller than the sum of its proper divisors (7032446954016).

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

3833345816544 is a wasteful number, since it uses less digits than its factorization.

3833345816544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 57.

The spelling of 3833345816544 in words is "three trillion, eight hundred thirty-three billion, three hundred forty-five million, eight hundred sixteen thousand, five hundred forty-four".