382620672 has 220 divisors, whose sum is σ = 1307787360. Its totient is φ = 109154304.

The previous prime is 382620661. The next prime is 382620691. The reversal of 382620672 is 276026283.

382620672 is a `hidden beast` number, since 382 + 6 + 206 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580279 + ... + 580937.

It is an arithmetic number, because the mean of its divisors is an integer number (5944488).

Almost surely, 2^382620672 is an apocalyptic number.

382620672 is a gapful number since it is divisible by the number (32) 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 382620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653893680).

382620672 is an abundant number, since it is smaller than the sum of its proper divisors (925166688).

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

382620672 is an equidigital number, since it uses as much as digits as its factorization.

382620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 382620672 is about 19560.6920122985. The cubic root of 382620672 is about 725.9769134111.

The spelling of 382620672 in words is "three hundred eighty-two million, six hundred twenty thousand, six hundred seventy-two".