384051650400 has 720 divisors, whose sum is σ = 1543014240768. Its totient is φ = 92181888000.

The previous prime is 384051650357. The next prime is 384051650407. The reversal of 384051650400 is 4056150483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384051650407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73415785 + ... + 73421015.

Almost surely, 2^384051650400 is an apocalyptic number.

384051650400 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 384051650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771507120384).

384051650400 is an abundant number, since it is smaller than the sum of its proper divisors (1158962590368).

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

384051650400 is a wasteful number, since it uses less digits than its factorization.

384051650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 384051650400 in words is "three hundred eighty-four billion, fifty-one million, six hundred fifty thousand, four hundred".