384211537920 has 1248 divisors, whose sum is σ = 1622903143680. Its totient is φ = 85359329280.

The previous prime is 384211537889. The next prime is 384211537979. The reversal of 384211537920 is 29735112483.

It is a happy number.

384211537920 is a `hidden beast` number, since 3 + 8 + 4 + 21 + 1 + 537 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1428295546 + ... + 1428295814.

It is an arithmetic number, because the mean of its divisors is an integer number (1300403160).

Almost surely, 2^384211537920 is an apocalyptic number.

384211537920 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 384211537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811451571840).

384211537920 is an abundant number, since it is smaller than the sum of its proper divisors (1238691605760).

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

384211537920 is an equidigital number, since it uses as much as digits as its factorization.

384211537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 384211537920 in words is "three hundred eighty-four billion, two hundred eleven million, five hundred thirty-seven thousand, nine hundred twenty".