1388345760 has 144 divisors (see below), whose sum is σ = 4765970664. Its totient is φ = 368019456.

The previous prime is 1388345747. The next prime is 1388345779. The reversal of 1388345760 is 675438831.

1388345760 is a `hidden beast` number, since 138 + 8 + 3 + 457 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1055210256 + 333135504 = 32484^2 + 18252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246334 + ... + 251906.

Almost surely, 2^1388345760 is an apocalyptic number.

1388345760 is a gapful number since it is divisible by the number (10) 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 1388345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382985332).

1388345760 is an abundant number, since it is smaller than the sum of its proper divisors (3377624904).

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

1388345760 is a wasteful number, since it uses less digits than its factorization.

1388345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5756 counting only the distinct ones).

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

The square root of 1388345760 is about 37260.5120737759. The cubic root of 1388345760 is about 1115.5761291588.

The spelling of 1388345760 in words is "one billion, three hundred eighty-eight million, three hundred forty-five thousand, seven hundred sixty".