1343878272 has 288 divisors, whose sum is σ = 4401895680. Its totient is φ = 392832000.

The previous prime is 1343878259. The next prime is 1343878297. The reversal of 1343878272 is 2728783431.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (451584) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4320997 + ... + 4321307.

It is an arithmetic number, because the mean of its divisors is an integer number (15284360).

Almost surely, 2^1343878272 is an apocalyptic number.

1343878272 is a gapful number since it is divisible by the number (12) 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 1343878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200947840).

1343878272 is an abundant number, since it is smaller than the sum of its proper divisors (3058017408).

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

1343878272 is a wasteful number, since it uses less digits than its factorization.

1343878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1343878272 is about 36658.9453203444. The cubic root of 1343878272 is about 1103.5363522527.

The spelling of 1343878272 in words is "one billion, three hundred forty-three million, eight hundred seventy-eight thousand, two hundred seventy-two".