1353340800 has 576 divisors, whose sum is σ = 5672628000. Its totient is φ = 307077120.

The previous prime is 1353340789. The next prime is 1353340819. The reversal of 1353340800 is 80433531.

It is a happy number.

1353340800 is a `hidden beast` number, since 13 + 533 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9878332 + ... + 9878468.

Almost surely, 2^1353340800 is an apocalyptic number.

1353340800 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 1353340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836314000).

1353340800 is an abundant number, since it is smaller than the sum of its proper divisors (4319287200).

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

1353340800 is a wasteful number, since it uses less digits than its factorization.

1353340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1353340800 is about 36787.7805799698. The cubic root of 1353340800 is about 1106.1203735886.

The spelling of 1353340800 in words is "one billion, three hundred fifty-three million, three hundred forty thousand, eight hundred".