1348480000 has 330 divisors, whose sum is σ = 4009557156. Its totient is φ = 451584000.

The previous prime is 1348479991. The next prime is 1348480009. The reversal of 1348480000 is 848431.

It is an interprime number because it is at equal distance from previous prime (1348479991) and next prime (1348480009).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1348480009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31359979 + ... + 31360021.

Almost surely, 2^1348480000 is an apocalyptic number.

1348480000 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 1348480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004778578).

1348480000 is an abundant number, since it is smaller than the sum of its proper divisors (2661077156).

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

1348480000 is an frugal number, since it uses more digits than its factorization.

1348480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1348480000 is about 36721.6557360912. The cubic root of 1348480000 is about 1104.7944991610.

The spelling of 1348480000 in words is "one billion, three hundred forty-eight million, four hundred eighty thousand".