384377280 has 224 divisors, whose sum is σ = 1425586176. Its totient is φ = 85917696.

The previous prime is 384377269. The next prime is 384377299. The reversal of 384377280 is 82773483.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315232 + ... + 316448.

It is an arithmetic number, because the mean of its divisors is an integer number (6364224).

Almost surely, 2^384377280 is an apocalyptic number.

384377280 is a gapful number since it is divisible by the number (30) 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 384377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712793088).

384377280 is an abundant number, since it is smaller than the sum of its proper divisors (1041208896).

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

384377280 is a wasteful number, since it uses less digits than its factorization.

384377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 384377280 is about 19605.5420736077. The cubic root of 384377280 is about 727.0862020140.

The spelling of 384377280 in words is "three hundred eighty-four million, three hundred seventy-seven thousand, two hundred eighty".