381852057600 has 960 divisors, whose sum is σ = 1529074008000. Its totient is φ = 92861890560.

The previous prime is 381852057557. The next prime is 381852057619. The reversal of 381852057600 is 6750258183.

381852057600 is a `hidden beast` number, since 3 + 8 + 18 + 5 + 20 + 5 + 7 + 600 = 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4600627159 + ... + 4600627241.

It is an arithmetic number, because the mean of its divisors is an integer number (1592785425).

Almost surely, 2^381852057600 is an apocalyptic number.

381852057600 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 381852057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764537004000).

381852057600 is an abundant number, since it is smaller than the sum of its proper divisors (1147221950400).

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

381852057600 is an frugal number, since it uses more digits than its factorization.

381852057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 381852057600 in words is "three hundred eighty-one billion, eight hundred fifty-two million, fifty-seven thousand, six hundred".