380596320 has 336 divisors, whose sum is σ = 1457607312. Its totient is φ = 93312000.

The previous prime is 380596313. The next prime is 380596327. The reversal of 380596320 is 23695083.

380596320 is a `hidden beast` number, since 38 + 0 + 596 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380596313) and next prime (380596327).

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 (380596327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516195 + ... + 1516445.

It is an arithmetic number, because the mean of its divisors is an integer number (4338117).

Almost surely, 2^380596320 is an apocalyptic number.

380596320 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 380596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728803656).

380596320 is an abundant number, since it is smaller than the sum of its proper divisors (1077010992).

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

380596320 is a wasteful number, since it uses less digits than its factorization.

380596320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 380596320 is about 19508.8779790125. The cubic root of 380596320 is about 724.6943269474.

The spelling of 380596320 in words is "three hundred eighty million, five hundred ninety-six thousand, three hundred twenty".