384238308955536 has 960 divisors, whose sum is σ = 1289953068957696. Its totient is φ = 104471294054400.

The previous prime is 384238308955517. The next prime is 384238308955603. The reversal of 384238308955536 is 635559803832483.

It is a happy number.

384238308955536 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 3 + 8 + 3 + 0 + 89 + 5 + 5 + 536 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351544655406 + ... + 351544656498.

Almost surely, 2^{384238308955536} is an apocalyptic number.

384238308955536 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 384238308955536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644976534478848).

384238308955536 is an abundant number, since it is smaller than the sum of its proper divisors (905714760002160).

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

384238308955536 is a wasteful number, since it uses less digits than its factorization.

384238308955536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 72.

The spelling of 384238308955536 in words is "three hundred eighty-four trillion, two hundred thirty-eight billion, three hundred eight million, nine hundred fifty-five thousand, five hundred thirty-six".