384128480736 has 768 divisors, whose sum is σ = 1508976967680. Its totient is φ = 91811543040.

The previous prime is 384128480731. The next prime is 384128480741. The reversal of 384128480736 is 637084821483.

384128480736 is a `hidden beast` number, since 3 + 8 + 4 + 128 + 480 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (384128480731) and next prime (384128480741).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384128480731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435026151 + ... + 435027033.

It is an arithmetic number, because the mean of its divisors is an integer number (1964813760).

Almost surely, 2^384128480736 is an apocalyptic number.

384128480736 is a gapful number since it is divisible by the number (36) 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 384128480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754488483840).

384128480736 is an abundant number, since it is smaller than the sum of its proper divisors (1124848486944).

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

384128480736 is a wasteful number, since it uses less digits than its factorization.

384128480736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 384128480736 in words is "three hundred eighty-four billion, one hundred twenty-eight million, four hundred eighty thousand, seven hundred thirty-six".