1344934752 has 288 divisors, whose sum is σ = 4434683904. Its totient is φ = 354816000.

The previous prime is 1344934727. The next prime is 1344934777. The reversal of 1344934752 is 2574394431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1344934727) and next prime (1344934777).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353752 + ... + 3354152.

It is an arithmetic number, because the mean of its divisors is an integer number (15398208).

Almost surely, 2^1344934752 is an apocalyptic number.

1344934752 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 1344934752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217341952).

1344934752 is an abundant number, since it is smaller than the sum of its proper divisors (3089749152).

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

1344934752 is a wasteful number, since it uses less digits than its factorization.

1344934752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 1344934752 is about 36673.3520693159. The cubic root of 1344934752 is about 1103.8254554974.

The spelling of 1344934752 in words is "one billion, three hundred forty-four million, nine hundred thirty-four thousand, seven hundred fifty-two".