3834027724800 has 2496 divisors, whose sum is σ = 16708570583040. Its totient is φ = 753653514240.

The previous prime is 3834027724799. The next prime is 3834027724937. The reversal of 3834027724800 is 84277204383.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3834027724800.

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 191 ways as a sum of consecutive naturals, for example, 43078963156 + ... + 43078963244.

Almost surely, 2^{3834027724800} is an apocalyptic number.

3834027724800 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 3834027724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354285291520).

3834027724800 is an abundant number, since it is smaller than the sum of its proper divisors (12874542858240).

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

3834027724800 is a wasteful number, since it uses less digits than its factorization.

3834027724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 3834027724800 in words is "three trillion, eight hundred thirty-four billion, twenty-seven million, seven hundred twenty-four thousand, eight hundred".