380577792 has 96 divisors (see below), whose sum is σ = 1159704000. Its totient is φ = 108724224.

The previous prime is 380577787. The next prime is 380577823. The reversal of 380577792 is 297775083.

380577792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38584 + ... + 47432.

It is an arithmetic number, because the mean of its divisors is an integer number (12080250).

Almost surely, 2^380577792 is an apocalyptic number.

380577792 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 380577792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579852000).

380577792 is an abundant number, since it is smaller than the sum of its proper divisors (779126208).

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

380577792 is an equidigital number, since it uses as much as digits as its factorization.

380577792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 380577792 is about 19508.4031125051. The cubic root of 380577792 is about 724.6825670208.

The spelling of 380577792 in words is "three hundred eighty million, five hundred seventy-seven thousand, seven hundred ninety-two".