1344292128 has 36 divisors (see below), whose sum is σ = 3822831558. Its totient is φ = 448097280.

The previous prime is 1344292111. The next prime is 1344292139. The reversal of 1344292128 is 8212924431.

1344292128 is a `hidden beast` number, since 1 + 3 + 442 + 92 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 721889424 + 622402704 = 26868^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1344292092 and 1344292101.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2333553 + ... + 2334128.

Almost surely, 2^1344292128 is an apocalyptic number.

1344292128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1344292128 is an abundant number, since it is smaller than the sum of its proper divisors (2478539430).

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

1344292128 is a wasteful number, since it uses less digits than its factorization.

1344292128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667697 (or 4667686 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1344292128 is about 36664.5895654104. The cubic root of 1344292128 is about 1103.6496210103.

It can be divided in two parts, 13442 and 92128, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 1344292128 in words is "one billion, three hundred forty-four million, two hundred ninety-two thousand, one hundred twenty-eight".