379906272 has 144 divisors (see below), whose sum is σ = 1142563968. Its totient is φ = 119496960.

The previous prime is 379906237. The next prime is 379906283. The reversal of 379906272 is 272609973.

It is a happy number.

379906272 is a `hidden beast` number, since 379 + 9 + 0 + 6 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549447 + ... + 550137.

It is an arithmetic number, because the mean of its divisors is an integer number (7934472).

Almost surely, 2^379906272 is an apocalyptic number.

379906272 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 379906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571281984).

379906272 is an abundant number, since it is smaller than the sum of its proper divisors (762657696).

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

379906272 is a wasteful number, since it uses less digits than its factorization.

379906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 379906272 is about 19491.1844688823. The cubic root of 379906272 is about 724.2560879941.

The spelling of 379906272 in words is "three hundred seventy-nine million, nine hundred six thousand, two hundred seventy-two".