381600672 has 96 divisors (see below), whose sum is σ = 1031486400. Its totient is φ = 123475968.

The previous prime is 381600629. The next prime is 381600673. The reversal of 381600672 is 276006183.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (381600673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503718 + ... + 504474.

It is an arithmetic number, because the mean of its divisors is an integer number (10744650).

Almost surely, 2^381600672 is an apocalyptic number.

381600672 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 381600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515743200).

381600672 is an abundant number, since it is smaller than the sum of its proper divisors (649885728).

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

381600672 is a wasteful number, since it uses less digits than its factorization.

381600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 381600672 is about 19534.6019155753. The cubic root of 381600672 is about 725.3312300196.

The spelling of 381600672 in words is "three hundred eighty-one million, six hundred thousand, six hundred seventy-two".