379786320 has 400 divisors, whose sum is σ = 1425980160. Its totient is φ = 93477888.

The previous prime is 379786289. The next prime is 379786339. The reversal of 379786320 is 23687973.

It is a happy number.

379786320 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 8 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 8080537 + ... + 8080583.

Almost surely, 2^379786320 is an apocalyptic number.

379786320 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 379786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

379786320 is an abundant number, since it is smaller than the sum of its proper divisors (1046193840).

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

379786320 is a wasteful number, since it uses less digits than its factorization.

379786320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 379786320 is about 19488.1071425626. The cubic root of 379786320 is about 724.1798541809.

The spelling of 379786320 in words is "three hundred seventy-nine million, seven hundred eighty-six thousand, three hundred twenty".