3821752696320 has 960 divisors, whose sum is σ = 14979535623360. Its totient is φ = 922839810048.

The previous prime is 3821752696309. The next prime is 3821752696343. The reversal of 3821752696320 is 236962571283.

3821752696320 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 7 + 526 + 96 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 619104754 + ... + 619110926.

It is an arithmetic number, because the mean of its divisors is an integer number (15603682941).

Almost surely, 2^{3821752696320} is an apocalyptic number.

3821752696320 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 3821752696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489767811680).

3821752696320 is an abundant number, since it is smaller than the sum of its proper divisors (11157782927040).

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

3821752696320 is a wasteful number, since it uses less digits than its factorization.

3821752696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3821752696320 in words is "three trillion, eight hundred twenty-one billion, seven hundred fifty-two million, six hundred ninety-six thousand, three hundred twenty".