1364208384 has 576 divisors, whose sum is σ = 5086126080. Its totient is φ = 313589760.

The previous prime is 1364208371. The next prime is 1364208409. The reversal of 1364208384 is 4838024631.

It is a happy number.

It is a super-2 number, since 2×1364208384² = 3722129029951782912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23122147 + ... + 23122205.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2^1364208384 is an apocalyptic number.

1364208384 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 1364208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040).

1364208384 is an abundant number, since it is smaller than the sum of its proper divisors (3721917696).

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

1364208384 is a wasteful number, since it uses less digits than its factorization.

1364208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1364208384 is about 36935.1916740661. The cubic root of 1364208384 is about 1109.0732691859.

The spelling of 1364208384 in words is "one billion, three hundred sixty-four million, two hundred eight thousand, three hundred eighty-four".