389900336400 has 225 divisors, whose sum is σ = 1399724514111. Its totient is φ = 103943450880.

The previous prime is 389900336347. The next prime is 389900336401. The reversal of 389900336400 is 4633009983.

The square root of 389900336400 is 624420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 184669591824 + 205230744576 = 429732^2 + 453024^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is not an unprimeable number, because it can be changed into a prime (389900336401) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 112393866 + ... + 112397334.

Almost surely, 2^389900336400 is an apocalyptic number.

389900336400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

389900336400 is the 624420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389900336400

389900336400 is an abundant number, since it is smaller than the sum of its proper divisors (1009824177711).

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

389900336400 is an frugal number, since it uses more digits than its factorization.

389900336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 389900336400 in words is "three hundred eighty-nine billion, nine hundred million, three hundred thirty-six thousand, four hundred".