3821921525760 has 1792 divisors, whose sum is σ = 15124240373760. Its totient is φ = 813862748160.

The previous prime is 3821921525603. The next prime is 3821921525761. The reversal of 3821921525760 is 675251291283.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821921525761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18113372055 + ... + 18113372265.

It is an arithmetic number, because the mean of its divisors is an integer number (8439866280).

Almost surely, 2^{3821921525760} is an apocalyptic number.

3821921525760 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 3821921525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562120186880).

3821921525760 is an abundant number, since it is smaller than the sum of its proper divisors (11302318848000).

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

3821921525760 is a wasteful number, since it uses less digits than its factorization.

3821921525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 3821921525760 in words is "three trillion, eight hundred twenty-one billion, nine hundred twenty-one million, five hundred twenty-five thousand, seven hundred sixty".