1388496384 has 320 divisors, whose sum is σ = 4690414080. Its totient is φ = 401448960.

The previous prime is 1388496371. The next prime is 1388496401. The reversal of 1388496384 is 4836948831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1388496384.

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, 3497274 + ... + 3497670.

It is an arithmetic number, because the mean of its divisors is an integer number (14657544).

Almost surely, 2^1388496384 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 1388496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345207040).

1388496384 is an abundant number, since it is smaller than the sum of its proper divisors (3301917696).

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

1388496384 is a wasteful number, since it uses less digits than its factorization.

1388496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1388496384 is about 37262.5332472176. The cubic root of 1388496384 is about 1115.6164712857.

The spelling of 1388496384 in words is "one billion, three hundred eighty-eight million, four hundred ninety-six thousand, three hundred eighty-four".