380348352 has 112 divisors (see below), whose sum is σ = 1139525280. Its totient is φ = 124360704.

The previous prime is 380348351. The next prime is 380348377. The reversal of 380348352 is 253843083.

It is a super-3 number, since 3×380348352³ (a number of 27 digits) contains 333 as substring.

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 (380348351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89508 + ... + 93660.

Almost surely, 2^380348352 is an apocalyptic number.

380348352 is a gapful number since it is divisible by the number (32) 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 380348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569762640).

380348352 is an abundant number, since it is smaller than the sum of its proper divisors (759176928).

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

380348352 is a wasteful number, since it uses less digits than its factorization.

380348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 380348352 is about 19502.5216831055. The cubic root of 380348352 is about 724.5369072754.

The spelling of 380348352 in words is "three hundred eighty million, three hundred forty-eight thousand, three hundred fifty-two".