1345438080 has 512 divisors, whose sum is σ = 5581440000. Its totient is φ = 306173952.

The previous prime is 1345438079. The next prime is 1345438091. The reversal of 1345438080 is 808345431.

1345438080 is a `hidden beast` number, since 1 + 34 + 543 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×1345438080² = 3620407254228172800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926927 + ... + 5927153.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2^1345438080 is an apocalyptic number.

1345438080 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 1345438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790720000).

1345438080 is an abundant number, since it is smaller than the sum of its proper divisors (4236001920).

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

1345438080 is an equidigital number, since it uses as much as digits as its factorization.

1345438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1345438080 is about 36680.2137398353. The cubic root of 1345438080 is about 1103.9631367653.

The spelling of 1345438080 in words is "one billion, three hundred forty-five million, four hundred thirty-eight thousand, eighty".