1355356800 has 672 divisors, whose sum is σ = 5806190880. Its totient is φ = 306063360.

The previous prime is 1355356799. The next prime is 1355356831. The reversal of 1355356800 is 86535531.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329559 + ... + 16329641.

It is an arithmetic number, because the mean of its divisors is an integer number (8640165).

Almost surely, 2^1355356800 is an apocalyptic number.

1355356800 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 1355356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903095440).

1355356800 is an abundant number, since it is smaller than the sum of its proper divisors (4450834080).

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

1355356800 is an frugal number, since it uses more digits than its factorization.

1355356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1355356800 is about 36815.1707859681. The cubic root of 1355356800 is about 1106.6693440364.

The spelling of 1355356800 in words is "one billion, three hundred fifty-five million, three hundred fifty-six thousand, eight hundred".