1355842800 has 720 divisors, whose sum is σ = 5582871840. Its totient is φ = 313528320.

The previous prime is 1355842777. The next prime is 1355842811. The reversal of 1355842800 is 82485531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 36644382 + ... + 36644418.

Almost surely, 2^1355842800 is an apocalyptic number.

1355842800 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 1355842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791435920).

1355842800 is an abundant number, since it is smaller than the sum of its proper divisors (4227029040).

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

1355842800 is a wasteful number, since it uses less digits than its factorization.

1355842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1355842800 is about 36821.7707341730. The cubic root of 1355842800 is about 1106.8016036815.

It can be divided in two parts, 135584 and 2800, that added together give a square (138384 = 372²).

The spelling of 1355842800 in words is "one billion, three hundred fifty-five million, eight hundred forty-two thousand, eight hundred".