380729052 has 192 divisors, whose sum is σ = 1144281600. Its totient is φ = 108380160.

The previous prime is 380729047. The next prime is 380729071. The reversal of 380729052 is 250927083.

It is a happy number.

It is a super-2 number, since 2×380729052² = 289909222073637408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 380728998 and 380729016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481308 + ... + 1481564.

It is an arithmetic number, because the mean of its divisors is an integer number (5959800).

Almost surely, 2^380729052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380729052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572140800).

380729052 is an abundant number, since it is smaller than the sum of its proper divisors (763552548).

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

380729052 is a wasteful number, since it uses less digits than its factorization.

380729052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 380729052 is about 19512.2795182931. The cubic root of 380729052 is about 724.7785622579.

The spelling of 380729052 in words is "three hundred eighty million, seven hundred twenty-nine thousand, fifty-two".