1395360000 has 720 divisors, whose sum is σ = 5746910400. Its totient is φ = 331776000.

The previous prime is 1395359989. The next prime is 1395360007. The reversal of 1395360000 is 635931.

1395360000 is a `hidden beast` number, since 1 + 3 + 9 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1395360007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439991 + ... + 73440009.

It is an arithmetic number, because the mean of its divisors is an integer number (7981820).

Almost surely, 2^1395360000 is an apocalyptic number.

1395360000 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 1395360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873455200).

1395360000 is an abundant number, since it is smaller than the sum of its proper divisors (4351550400).

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

1395360000 is an equidigital number, since it uses as much as digits as its factorization.

1395360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1395360000 is about 37354.5177990561. The cubic root of 1395360000 is about 1117.4516892768.

Adding to 1395360000 its reverse (635931), we get a palindrome (1395995931).

The spelling of 1395360000 in words is "one billion, three hundred ninety-five million, three hundred sixty thousand".