1346342400 has 720 divisors, whose sum is σ = 5540895360. Its totient is φ = 309657600.

The previous prime is 1346342357. The next prime is 1346342447. The reversal of 1346342400 is 42436431.

1346342400 is a `hidden beast` number, since 1 + 3 + 4 + 634 + 24 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43430385 + ... + 43430415.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2^1346342400 is an apocalyptic number.

1346342400 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 1346342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770447680).

1346342400 is an abundant number, since it is smaller than the sum of its proper divisors (4194552960).

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

1346342400 is a wasteful number, since it uses less digits than its factorization.

1346342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1346342400 is about 36692.5387510867. The cubic root of 1346342400 is about 1104.2104198793.

Adding to 1346342400 its reverse (42436431), we get a palindrome (1388778831).

The spelling of 1346342400 in words is "one billion, three hundred forty-six million, three hundred forty-two thousand, four hundred".