379527120 has 240 divisors, whose sum is σ = 1511153280. Its totient is φ = 86717952.

The previous prime is 379527107. The next prime is 379527121. The reversal of 379527120 is 21725973.

379527120 is a `hidden beast` number, since 3 + 7 + 9 + 527 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379527121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134686 + ... + 137474.

It is an arithmetic number, because the mean of its divisors is an integer number (6296472).

Almost surely, 2^379527120 is an apocalyptic number.

379527120 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 379527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755576640).

379527120 is an abundant number, since it is smaller than the sum of its proper divisors (1131626160).

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

379527120 is a wasteful number, since it uses less digits than its factorization.

379527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 379527120 is about 19481.4557977580. The cubic root of 379527120 is about 724.0150684165.

The spelling of 379527120 in words is "three hundred seventy-nine million, five hundred twenty-seven thousand, one hundred twenty".