384368116428 has 336 divisors, whose sum is σ = 1088439339456. Its totient is φ = 118409195520.

The previous prime is 384368116421. The next prime is 384368116439. The reversal of 384368116428 is 824611863483.

It is a happy number.

384368116428 is a `hidden beast` number, since 3 + 8 + 43 + 68 + 116 + 428 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (384368116421) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 310725426 + ... + 310726662.

It is an arithmetic number, because the mean of its divisors is an integer number (3239402796).

Almost surely, 2^384368116428 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 384368116428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544219669728).

384368116428 is an abundant number, since it is smaller than the sum of its proper divisors (704071223028).

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

384368116428 is a wasteful number, since it uses less digits than its factorization.

384368116428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1419 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 384368116428 in words is "three hundred eighty-four billion, three hundred sixty-eight million, one hundred sixteen thousand, four hundred twenty-eight".