1362880000 has 100 divisors (see below), whose sum is σ = 3403582380. Its totient is φ = 545024000.

The previous prime is 1362879983. The next prime is 1362880007. The reversal of 1362880000 is 882631.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 317871 + ... + 322129.

Almost surely, 2^1362880000 is an apocalyptic number.

1362880000 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 1362880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701791190).

1362880000 is an abundant number, since it is smaller than the sum of its proper divisors (2040702380).

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

1362880000 is an frugal number, since it uses more digits than its factorization.

1362880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1362880000 is about 36917.2046612416. The cubic root of 1362880000 is about 1108.7131693514.

The spelling of 1362880000 in words is "one billion, three hundred sixty-two million, eight hundred eighty thousand".