1344752640 has 528 divisors, whose sum is σ = 5824615680. Its totient is φ = 278691840.

The previous prime is 1344752573. The next prime is 1344752657. The reversal of 1344752640 is 462574431.

1344752640 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a junction number, because it is equal to n+sod(n) for n = 1344752595 and 1344752604.

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, 3547971 + ... + 3548349.

Almost surely, 2^1344752640 is an apocalyptic number.

1344752640 is a gapful number since it is divisible by the number (10) 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 1344752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912307840).

1344752640 is an abundant number, since it is smaller than the sum of its proper divisors (4479863040).

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

1344752640 is a wasteful number, since it uses less digits than its factorization.

1344752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1344752640 is about 36670.8690925099. The cubic root of 1344752640 is about 1103.7756317830.

The spelling of 1344752640 in words is "one billion, three hundred forty-four million, seven hundred fifty-two thousand, six hundred forty".