1348613280 has 576 divisors, whose sum is σ = 5750196480. Its totient is φ = 293787648.

The previous prime is 1348613261. The next prime is 1348613317. The reversal of 1348613280 is 823168431.

1348613280 is a `hidden beast` number, since 1 + 34 + 8 + 613 + 2 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4868502 + ... + 4868778.

It is an arithmetic number, because the mean of its divisors is an integer number (9982980).

Almost surely, 2^1348613280 is an apocalyptic number.

1348613280 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 1348613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875098240).

1348613280 is an abundant number, since it is smaller than the sum of its proper divisors (4401583200).

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

1348613280 is a wasteful number, since it uses less digits than its factorization.

1348613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1348613280 is about 36723.4704242396. The cubic root of 1348613280 is about 1104.8308962303.

The spelling of 1348613280 in words is "one billion, three hundred forty-eight million, six hundred thirteen thousand, two hundred eighty".