1356404352 has 64 divisors (see below), whose sum is σ = 3609576000. Its totient is φ = 451303424.

The previous prime is 1356404333. The next prime is 1356404359. The reversal of 1356404352 is 2534046531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1356404352² = 3679665532249079808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1356404359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227068 + ... + 232964.

It is an arithmetic number, because the mean of its divisors is an integer number (56399625).

Almost surely, 2^1356404352 is an apocalyptic number.

1356404352 is a gapful number since it is divisible by the number (12) 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 1356404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804788000).

1356404352 is an abundant number, since it is smaller than the sum of its proper divisors (2253171648).

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

1356404352 is an equidigital number, since it uses as much as digits as its factorization.

1356404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 1356404352 is about 36829.3952163214. The cubic root of 1356404352 is about 1106.9543846350.

The spelling of 1356404352 in words is "one billion, three hundred fifty-six million, four hundred four thousand, three hundred fifty-two".