380240784 has 480 divisors, whose sum is σ = 1465620480. Its totient is φ = 93139200.

The previous prime is 380240767. The next prime is 380240789. The reversal of 380240784 is 487042083.

380240784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (380240789) 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 95 ways as a sum of consecutive naturals, for example, 5355469 + ... + 5355539.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^380240784 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 380240784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732810240).

380240784 is an abundant number, since it is smaller than the sum of its proper divisors (1085379696).

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

380240784 is a wasteful number, since it uses less digits than its factorization.

380240784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 380240784 is about 19499.7636908758. The cubic root of 380240784 is about 724.4685976728.

The spelling of 380240784 in words is "three hundred eighty million, two hundred forty thousand, seven hundred eighty-four".