384399100431360 has 5280 divisors, whose sum is σ = 1759086468912960. Its totient is φ = 79706758053888.

The previous prime is 384399100431347. The next prime is 384399100431361. The reversal of 384399100431360 is 63134001993483.

384399100431360 is a `hidden beast` number, since 3 + 8 + 43 + 9 + 9 + 100 + 431 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 384399100431297 and 384399100431306.

It is not an unprimeable number, because it can be changed into a prime (384399100431361) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1678598691726 + ... + 1678598691954.

It is an arithmetic number, because the mean of its divisors is an integer number (333160316082).

Almost surely, 2^{384399100431360} is an apocalyptic number.

384399100431360 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 384399100431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879543234456480).

384399100431360 is an abundant number, since it is smaller than the sum of its proper divisors (1374687368481600).

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

384399100431360 is a wasteful number, since it uses less digits than its factorization.

384399100431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 384399100431360 in words is "three hundred eighty-four trillion, three hundred ninety-nine billion, one hundred million, four hundred thirty-one thousand, three hundred sixty".