1288761344 has 52 divisors (see below), whose sum is σ = 2775569496. Its totient is φ = 594788352.

The previous prime is 1288761337. The next prime is 1288761349. The reversal of 1288761344 is 4431678821.

It is a tau number, because it is divible by the number of its divisors (52).

It is a super-3 number, since 3×1288761344³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288761295 and 1288761304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288761349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41147 + ... + 65349.

Almost surely, 2^1288761344 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 1288761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387784748).

1288761344 is an abundant number, since it is smaller than the sum of its proper divisors (1486808152).

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

1288761344 is an equidigital number, since it uses as much as digits as its factorization.

1288761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240 (or 24218 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 1288761344 is about 35899.3223334369. The cubic root of 1288761344 is about 1088.2387019514.

The spelling of 1288761344 in words is "one billion, two hundred eighty-eight million, seven hundred sixty-one thousand, three hundred forty-four".