1345288672 has 72 divisors (see below), whose sum is σ = 3277740816. Its totient is φ = 532187136.

The previous prime is 1345288663. The next prime is 1345288687. The reversal of 1345288672 is 2768825431.

It is a super-2 number, since 2×1345288672² = 3619603222023047168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20088 + ... + 55624.

It is an arithmetic number, because the mean of its divisors is an integer number (45524178).

Almost surely, 2^1345288672 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 1345288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638870408).

1345288672 is an abundant number, since it is smaller than the sum of its proper divisors (1932452144).

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

1345288672 is a wasteful number, since it uses less digits than its factorization.

1345288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35580 (or 35559 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 1345288672 is about 36678.1770539377. The cubic root of 1345288672 is about 1103.9222710100.

The spelling of 1345288672 in words is "one billion, three hundred forty-five million, two hundred eighty-eight thousand, six hundred seventy-two".