389936332800 has 1800 divisors, whose sum is σ = 1746291313536. Its totient is φ = 84085309440.

The previous prime is 389936332769. The next prime is 389936332801. The reversal of 389936332800 is 8233639983.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389936332801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5341593564 + ... + 5341593636.

Almost surely, 2^389936332800 is an apocalyptic number.

389936332800 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 389936332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873145656768).

389936332800 is an abundant number, since it is smaller than the sum of its proper divisors (1356354980736).

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

389936332800 is an equidigital number, since it uses as much as digits as its factorization.

389936332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 389936332800 in words is "three hundred eighty-nine billion, nine hundred thirty-six million, three hundred thirty-two thousand, eight hundred".