363986812800 has 1152 divisors, whose sum is σ = 1494969315840. Its totient is φ = 83623034880.

The previous prime is 363986812771. The next prime is 363986812817. The reversal of 363986812800 is 8218689363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 370281109 + ... + 370282091.

It is an arithmetic number, because the mean of its divisors is an integer number (1297716420).

Almost surely, 2^363986812800 is an apocalyptic number.

363986812800 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 363986812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747484657920).

363986812800 is an abundant number, since it is smaller than the sum of its proper divisors (1130982503040).

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

363986812800 is a wasteful number, since it uses less digits than its factorization.

363986812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 363986812800 in words is "three hundred sixty-three billion, nine hundred eighty-six million, eight hundred twelve thousand, eight hundred".