380424096 has 288 divisors, whose sum is σ = 1271350080. Its totient is φ = 106831872.

The previous prime is 380424049. The next prime is 380424101. The reversal of 380424096 is 690424083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 380424096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2736795 + ... + 2736933.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2^380424096 is an apocalyptic number.

380424096 is a gapful number since it is divisible by the number (36) 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 380424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635675040).

380424096 is an abundant number, since it is smaller than the sum of its proper divisors (890925984).

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

380424096 is a wasteful number, since it uses less digits than its factorization.

380424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 380424096 is about 19504.4634891606. The cubic root of 380424096 is about 724.5849997505.

The spelling of 380424096 in words is "three hundred eighty million, four hundred twenty-four thousand, ninety-six".