1353670800 has 120 divisors (see below), whose sum is σ = 4476261120. Its totient is φ = 349324800.

The previous prime is 1353670783. The next prime is 1353670817. The reversal of 1353670800 is 80763531.

It is a happy number.

1353670800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1353670783) and next prime (1353670817).

It is a tau number, because it is divible by the number of its divisors (120).

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, 19006 + ... + 55394.

It is an arithmetic number, because the mean of its divisors is an integer number (37302176).

Almost surely, 2^1353670800 is an apocalyptic number.

1353670800 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 1353670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238130560).

1353670800 is an abundant number, since it is smaller than the sum of its proper divisors (3122590320).

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

1353670800 is a wasteful number, since it uses less digits than its factorization.

1353670800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36441 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1353670800 is about 36792.2654915405. The cubic root of 1353670800 is about 1106.2102721218.

The spelling of 1353670800 in words is "one billion, three hundred fifty-three million, six hundred seventy thousand, eight hundred".