1345795200 has 288 divisors, whose sum is σ = 4868594640. Its totient is φ = 353925120.

The previous prime is 1345795183. The next prime is 1345795207. The reversal of 1345795200 is 25975431.

1345795200 is a `hidden beast` number, since 1 + 34 + 579 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1345795200² = 3622329440686080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1345795207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2390119 + ... + 2390681.

Almost surely, 2^1345795200 is an apocalyptic number.

1345795200 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 1345795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434297320).

1345795200 is an abundant number, since it is smaller than the sum of its proper divisors (3522799440).

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

1345795200 is a wasteful number, since it uses less digits than its factorization.

1345795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1345795200 is about 36685.0814364641. The cubic root of 1345795200 is about 1104.0608032044.

The spelling of 1345795200 in words is "one billion, three hundred forty-five million, seven hundred ninety-five thousand, two hundred".