380712960 has 384 divisors, whose sum is σ = 1450612800. Its totient is φ = 95551488.

The previous prime is 380712947. The next prime is 380712967. The reversal of 380712960 is 69217083.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380712967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394872 + ... + 22394888.

Almost surely, 2^380712960 is an apocalyptic number.

380712960 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 380712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725306400).

380712960 is an abundant number, since it is smaller than the sum of its proper divisors (1069899840).

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

380712960 is an frugal number, since it uses more digits than its factorization.

380712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 380712960 is about 19511.8671582194. The cubic root of 380712960 is about 724.7683508833.

The spelling of 380712960 in words is "three hundred eighty million, seven hundred twelve thousand, nine hundred sixty".