1348345440 has 480 divisors, whose sum is σ = 5255845056. Its totient is φ = 323481600.

The previous prime is 1348345373. The next prime is 1348345441. The reversal of 1348345440 is 445438431.

1348345440 is a `hidden beast` number, since 1 + 34 + 83 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1348345395 and 1348345404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348345441) 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 79 ways as a sum of consecutive naturals, for example, 8929365 + ... + 8929515.

Almost surely, 2^1348345440 is an apocalyptic number.

1348345440 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 1348345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627922528).

1348345440 is an abundant number, since it is smaller than the sum of its proper divisors (3907499616).

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

1348345440 is a wasteful number, since it uses less digits than its factorization.

1348345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1348345440 is about 36719.8235289877. The cubic root of 1348345440 is about 1104.7577501071.

The spelling of 1348345440 in words is "one billion, three hundred forty-eight million, three hundred forty-five thousand, four hundred forty".