384249571704432 has 360 divisors, whose sum is σ = 1305516098764800. Its totient is φ = 104996803887360.

The previous prime is 384249571704419. The next prime is 384249571704437. The reversal of 384249571704432 is 234407175942483.

384249571704432 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 495 + 7 + 1 + 70 + 44 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 384249571704432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384249571704437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1121401069 + ... + 1121743667.

It is an arithmetic number, because the mean of its divisors is an integer number (3626433607680).

Almost surely, 2^{384249571704432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384249571704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652758049382400).

384249571704432 is an abundant number, since it is smaller than the sum of its proper divisors (921266527060368).

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

384249571704432 is a wasteful number, since it uses less digits than its factorization.

384249571704432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349561 (or 349545 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 384249571704432 in words is "three hundred eighty-four trillion, two hundred forty-nine billion, five hundred seventy-one million, seven hundred four thousand, four hundred thirty-two".