3723306825800 has 192 divisors, whose sum is σ = 8977246848000. Its totient is φ = 1434631910400.

The previous prime is 3723306825773. The next prime is 3723306825817. The reversal of 3723306825800 is 85286033273.

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 47 ways as a sum of consecutive naturals, for example, 2403683426 + ... + 2403684974.

It is an arithmetic number, because the mean of its divisors is an integer number (46756494000).

Almost surely, 2^{3723306825800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3723306825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488623424000).

3723306825800 is an abundant number, since it is smaller than the sum of its proper divisors (5253940022200).

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

3723306825800 is a wasteful number, since it uses less digits than its factorization.

3723306825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 3723306825800 in words is "three trillion, seven hundred twenty-three billion, three hundred six million, eight hundred twenty-five thousand, eight hundred".