1380905344 has 128 divisors (see below), whose sum is σ = 3421716480. Its totient is φ = 540518400.

The previous prime is 1380905333. The next prime is 1380905363. The reversal of 1380905344 is 4435090831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199169 + ... + 1200319.

It is an arithmetic number, because the mean of its divisors is an integer number (26732160).

Almost surely, 2^1380905344 is an apocalyptic number.

1380905344 is a gapful number since it is divisible by the number (14) 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 1380905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710858240).

1380905344 is an abundant number, since it is smaller than the sum of its proper divisors (2040811136).

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

1380905344 is a wasteful number, since it uses less digits than its factorization.

1380905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1380905344 is about 37160.5347647205. The cubic root of 1380905344 is about 1113.5796950431.

The spelling of 1380905344 in words is "one billion, three hundred eighty million, nine hundred five thousand, three hundred forty-four".