380362752 has 336 divisors, whose sum is σ = 1390326912. Its totient is φ = 97320960.

The previous prime is 380362751. The next prime is 380362757. The reversal of 380362752 is 257263083.

380362752 is a `hidden beast` number, since 380 + 3 + 6 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (380362751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677023 + ... + 5677089.

Almost surely, 2^380362752 is an apocalyptic number.

380362752 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 380362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695163456).

380362752 is an abundant number, since it is smaller than the sum of its proper divisors (1009964160).

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

380362752 is a wasteful number, since it uses less digits than its factorization.

380362752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 380362752 is about 19502.8908626388. The cubic root of 380362752 is about 724.5460508231.

The spelling of 380362752 in words is "three hundred eighty million, three hundred sixty-two thousand, seven hundred fifty-two".