1348764288 has 64 divisors (see below), whose sum is σ = 3601416000. Its totient is φ = 447234048.

The previous prime is 1348764233. The next prime is 1348764289. The reversal of 1348764288 is 8824678431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1348764288.

It is not an unprimeable number, because it can be changed into a prime (1348764289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65013 + ... + 83211.

It is an arithmetic number, because the mean of its divisors is an integer number (56272125).

Almost surely, 2^1348764288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800708000).

1348764288 is an abundant number, since it is smaller than the sum of its proper divisors (2252651712).

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

1348764288 is a wasteful number, since it uses less digits than its factorization.

1348764288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18409 (or 18397 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 1348764288 is about 36725.5263815238. The cubic root of 1348764288 is about 1104.8721316929.

The spelling of 1348764288 in words is "one billion, three hundred forty-eight million, seven hundred sixty-four thousand, two hundred eighty-eight".