384045948000 has 1536 divisors, whose sum is σ = 1668011304960. Its totient is φ = 85660416000.

The previous prime is 384045947959. The next prime is 384045948017. The reversal of 384045948000 is 849540483.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1250963847 + ... + 1250964153.

It is an arithmetic number, because the mean of its divisors is an integer number (1085944860).

Almost surely, 2^384045948000 is an apocalyptic number.

384045948000 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 384045948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834005652480).

384045948000 is an abundant number, since it is smaller than the sum of its proper divisors (1283965356960).

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

384045948000 is a wasteful number, since it uses less digits than its factorization.

384045948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 384045948000 in words is "three hundred eighty-four billion, forty-five million, nine hundred forty-eight thousand".