384396008640 has 448 divisors, whose sum is σ = 1504744833024. Its totient is φ = 81132060672.

The previous prime is 384396008621. The next prime is 384396008641. The reversal of 384396008640 is 46800693483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (384396008641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6022977 + ... + 6086463.

Almost surely, 2^384396008640 is an apocalyptic number.

384396008640 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 384396008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752372416512).

384396008640 is an abundant number, since it is smaller than the sum of its proper divisors (1120348824384).

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

384396008640 is a wasteful number, since it uses less digits than its factorization.

384396008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63584 (or 63574 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 384396008640 in words is "three hundred eighty-four billion, three hundred ninety-six million, eight thousand, six hundred forty".