1356342400 has 192 divisors, whose sum is σ = 3864216960. Its totient is φ = 460800000.

The previous prime is 1356342391. The next prime is 1356342431. The reversal of 1356342400 is 42436531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382200 + ... + 3382600.

It is an arithmetic number, because the mean of its divisors is an integer number (20126130).

Almost surely, 2^1356342400 is an apocalyptic number.

1356342400 is a gapful number since it is divisible by the number (10) 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 1356342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932108480).

1356342400 is an abundant number, since it is smaller than the sum of its proper divisors (2507874560).

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

1356342400 is a wasteful number, since it uses less digits than its factorization.

1356342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1356342400 is about 36828.5541394174. The cubic root of 1356342400 is about 1106.9375314791.

Adding to 1356342400 its reverse (42436531), we get a palindrome (1398778931).

The spelling of 1356342400 in words is "one billion, three hundred fifty-six million, three hundred forty-two thousand, four hundred".