1378560384 has 384 divisors, whose sum is σ = 4491002880. Its totient is φ = 419696640.

The previous prime is 1378560347. The next prime is 1378560419. The reversal of 1378560384 is 4830658731.

1378560384 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 560 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 29331049 + ... + 29331095.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^1378560384 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 1378560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1378560384 is an abundant number, since it is smaller than the sum of its proper divisors (3112442496).

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

1378560384 is an equidigital number, since it uses as much as digits as its factorization.

1378560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1378560384 is about 37128.9696059559. The cubic root of 1378560384 is about 1112.9490026837.

The spelling of 1378560384 in words is "one billion, three hundred seventy-eight million, five hundred sixty thousand, three hundred eighty-four".