384211620 has 192 divisors, whose sum is σ = 1298304000. Its totient is φ = 93768192.

The previous prime is 384211609. The next prime is 384211621. The reversal of 384211620 is 26112483.

384211620 is a `hidden beast` number, since 38 + 4 + 2 + 1 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (384211621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1607461 + ... + 1607699.

It is an arithmetic number, because the mean of its divisors is an integer number (6762000).

Almost surely, 2^384211620 is an apocalyptic number.

384211620 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 384211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649152000).

384211620 is an abundant number, since it is smaller than the sum of its proper divisors (914092380).

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

384211620 is a wasteful number, since it uses less digits than its factorization.

384211620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 384211620 is about 19601.3167925015. The cubic root of 384211620 is about 726.9817331198.

The spelling of 384211620 in words is "three hundred eighty-four million, two hundred eleven thousand, six hundred twenty".