1356304384 has 52 divisors (see below), whose sum is σ = 2733205644. Its totient is φ = 672923648.

The previous prime is 1356304381. The next prime is 1356304399. The reversal of 1356304384 is 4834036531.

It can be written as a sum of positive squares in 2 ways, for example, as 1120374784 + 235929600 = 33472^2 + 15360^2 .

It is not an unprimeable number, because it can be changed into a prime (1356304381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559944 + ... + 562360.

It is an arithmetic number, because the mean of its divisors is an integer number (52561647).

Almost surely, 2^1356304384 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 1356304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366602822).

1356304384 is an abundant number, since it is smaller than the sum of its proper divisors (1376901260).

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

1356304384 is an equidigital number, since it uses as much as digits as its factorization.

1356304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 1356304384 is about 36828.0380145345. The cubic root of 1356304384 is about 1106.9271895157.

The spelling of 1356304384 in words is "one billion, three hundred fifty-six million, three hundred four thousand, three hundred eighty-four".