1398085344 has 72 divisors (see below), whose sum is σ = 3992500512. Its totient is φ = 464071680.

The previous prime is 1398085319. The next prime is 1398085349. The reversal of 1398085344 is 4435808931.

1398085344 is a `hidden beast` number, since 1 + 39 + 80 + 8 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1398085344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398085349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59337 + ... + 79479.

It is an arithmetic number, because the mean of its divisors is an integer number (55451396).

Almost surely, 2^1398085344 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 1398085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996250256).

1398085344 is an abundant number, since it is smaller than the sum of its proper divisors (2594415168).

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

1398085344 is a wasteful number, since it uses less digits than its factorization.

1398085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1398085344 is about 37390.9794469201. The cubic root of 1398085344 is about 1118.1787321603.

The spelling of 1398085344 in words is "one billion, three hundred ninety-eight million, eighty-five thousand, three hundred forty-four".