1344429792 has 96 divisors (see below), whose sum is σ = 4056544800. Its totient is φ = 432681984.

The previous prime is 1344429791. The next prime is 1344429841. The reversal of 1344429792 is 2979244431.

1344429792 is a `hidden beast` number, since 1 + 34 + 442 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344429791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773 + ... + 51884.

It is an arithmetic number, because the mean of its divisors is an integer number (42255675).

Almost surely, 2^1344429792 is an apocalyptic number.

1344429792 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 1344429792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028272400).

1344429792 is an abundant number, since it is smaller than the sum of its proper divisors (2712115008).

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

1344429792 is a wasteful number, since it uses less digits than its factorization.

1344429792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53705 (or 53691 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1344429792 is about 36666.4668600617. The cubic root of 1344429792 is about 1103.6872932871.

The spelling of 1344429792 in words is "one billion, three hundred forty-four million, four hundred twenty-nine thousand, seven hundred ninety-two".