380029920 has 192 divisors, whose sum is σ = 1293304320. Its totient is φ = 93513728.

The previous prime is 380029919. The next prime is 380029927. The reversal of 380029920 is 29920083.

380029920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380029927) 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, 319567 + ... + 320753.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^380029920 is an apocalyptic number.

380029920 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 380029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646652160).

380029920 is an abundant number, since it is smaller than the sum of its proper divisors (913274400).

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

380029920 is a wasteful number, since it uses less digits than its factorization.

380029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 380029920 is about 19494.3561063196. The cubic root of 380029920 is about 724.3346539541.

The spelling of 380029920 in words is "three hundred eighty million, twenty-nine thousand, nine hundred twenty".