3825320320800 has 1440 divisors, whose sum is σ = 16299244906560. Its totient is φ = 862750310400.

The previous prime is 3825320320739. The next prime is 3825320320813. The reversal of 3825320320800 is 80230235283.

It is a happy number.

3825320320800 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 320 + 320 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1078464627 + ... + 1078468173.

It is an arithmetic number, because the mean of its divisors is an integer number (11318920074).

Almost surely, 2^{3825320320800} is an apocalyptic number.

3825320320800 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 3825320320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149622453280).

3825320320800 is an abundant number, since it is smaller than the sum of its proper divisors (12473924585760).

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

3825320320800 is a wasteful number, since it uses less digits than its factorization.

3825320320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3825320320800 in words is "three trillion, eight hundred twenty-five billion, three hundred twenty million, three hundred twenty thousand, eight hundred".