1361349800 has 96 divisors (see below), whose sum is σ = 3363534720. Its totient is φ = 510643200.

The previous prime is 1361349793. The next prime is 1361349833. The reversal of 1361349800 is 89431631.

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 23 ways as a sum of consecutive naturals, for example, 1247255 + ... + 1248345.

It is an arithmetic number, because the mean of its divisors is an integer number (35036820).

Almost surely, 2^1361349800 is an apocalyptic number.

1361349800 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 1361349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681767360).

1361349800 is an abundant number, since it is smaller than the sum of its proper divisors (2002184920).

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

1361349800 is a wasteful number, since it uses less digits than its factorization.

1361349800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1361349800 is about 36896.4740862863. The cubic root of 1361349800 is about 1108.2980708751.

The spelling of 1361349800 in words is "one billion, three hundred sixty-one million, three hundred forty-nine thousand, eight hundred".