1346318640 has 240 divisors, whose sum is σ = 4716260640. Its totient is φ = 343879680.

The previous prime is 1346318531. The next prime is 1346318641. The reversal of 1346318640 is 468136431.

It is a happy number.

1346318640 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 3 + 1 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1346318640² = 3625147760822899200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1346318595 and 1346318604.

It is not an unprimeable number, because it can be changed into a prime (1346318641) 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 47 ways as a sum of consecutive naturals, for example, 1741294 + ... + 1742066.

It is an arithmetic number, because the mean of its divisors is an integer number (19651086).

Almost surely, 2^1346318640 is an apocalyptic number.

1346318640 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 1346318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358130320).

1346318640 is an abundant number, since it is smaller than the sum of its proper divisors (3369942000).

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

1346318640 is a wasteful number, since it uses less digits than its factorization.

1346318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1346318640 is about 36692.2149781122. The cubic root of 1346318640 is about 1104.2039242078.

The spelling of 1346318640 in words is "one billion, three hundred forty-six million, three hundred eighteen thousand, six hundred forty".