1345344000 has 960 divisors, whose sum is σ = 6112858752. Its totient is φ = 258048000.

The previous prime is 1345343969. The next prime is 1345344023. The reversal of 1345344000 is 4435431.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103487994 + ... + 103488006.

Almost surely, 2^1345344000 is an apocalyptic number.

1345344000 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 1345344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056429376).

1345344000 is an abundant number, since it is smaller than the sum of its proper divisors (4767514752).

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

1345344000 is a wasteful number, since it uses less digits than its factorization.

1345344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1345344000 is about 36678.9312821407. The cubic root of 1345344000 is about 1103.9374045585.

Adding to 1345344000 its reverse (4435431), we get a palindrome (1349779431).

The spelling of 1345344000 in words is "one billion, three hundred forty-five million, three hundred forty-four thousand".