3808125327600 has 480 divisors, whose sum is σ = 14902783303680. Its totient is φ = 915909120000.

The previous prime is 3808125327551. The next prime is 3808125327653. The reversal of 3808125327600 is 67235218083.

3808125327600 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 1 + 2 + 5 + 32 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14961400 + ... + 15213800.

It is an arithmetic number, because the mean of its divisors is an integer number (31047465216).

Almost surely, 2^{3808125327600} is an apocalyptic number.

3808125327600 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 3808125327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451391651840).

3808125327600 is an abundant number, since it is smaller than the sum of its proper divisors (11094657976080).

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

3808125327600 is a wasteful number, since it uses less digits than its factorization.

3808125327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252566 (or 252549 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3808125327600 in words is "three trillion, eight hundred eight billion, one hundred twenty-five million, three hundred twenty-seven thousand, six hundred".