3823578528000 has 1152 divisors, whose sum is σ = 16765736472576. Its totient is φ = 747749376000.

The previous prime is 3823578527999. The next prime is 3823578528001. The reversal of 3823578528000 is 8258753283.

It is an interprime number because it is at equal distance from previous prime (3823578527999) and next prime (3823578528001).

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

It is not an unprimeable number, because it can be changed into a prime (3823578528001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 125648787 + ... + 125679213.

It is an arithmetic number, because the mean of its divisors is an integer number (14553590688).

Almost surely, 2^{3823578528000} is an apocalyptic number.

3823578528000 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 3823578528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382868236288).

3823578528000 is an abundant number, since it is smaller than the sum of its proper divisors (12942157944576).

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

3823578528000 is a wasteful number, since it uses less digits than its factorization.

3823578528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30496 (or 30472 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 3823578528000 in words is "three trillion, eight hundred twenty-three billion, five hundred seventy-eight million, five hundred twenty-eight thousand".