1338705984 has 448 divisors, whose sum is σ = 4794089472. Its totient is φ = 319334400.

The previous prime is 1338705983. The next prime is 1338706003. The reversal of 1338705984 is 4895078331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1338705983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10540929 + ... + 10541055.

Almost surely, 2^1338705984 is an apocalyptic number.

1338705984 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 1338705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397044736).

1338705984 is an abundant number, since it is smaller than the sum of its proper divisors (3455383488).

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

1338705984 is a wasteful number, since it uses less digits than its factorization.

1338705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1338705984 is about 36588.3312546500. The cubic root of 1338705984 is about 1102.1187768808.

The spelling of 1338705984 in words is "one billion, three hundred thirty-eight million, seven hundred five thousand, nine hundred eighty-four".