1348762320 has 320 divisors, whose sum is σ = 5136099840. Its totient is φ = 323592192.

The previous prime is 1348762309. The next prime is 1348762321. The reversal of 1348762320 is 232678431.

It is a happy number.

1348762320 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 623 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348762321) 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 63 ways as a sum of consecutive naturals, for example, 843762 + ... + 845358.

It is an arithmetic number, because the mean of its divisors is an integer number (16050312).

Almost surely, 2^1348762320 is an apocalyptic number.

1348762320 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 1348762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568049920).

1348762320 is an abundant number, since it is smaller than the sum of its proper divisors (3787337520).

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

1348762320 is a wasteful number, since it uses less digits than its factorization.

1348762320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1348762320 is about 36725.4995881608. The cubic root of 1348762320 is about 1104.8715943147.

The spelling of 1348762320 in words is "one billion, three hundred forty-eight million, seven hundred sixty-two thousand, three hundred twenty".