3440375640 has 256 divisors, whose sum is σ = 12405052800. Its totient is φ = 843098112.

The previous prime is 3440375633. The next prime is 3440375677. The reversal of 3440375640 is 465730443.

It is a happy number.

3440375640 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 3 + 7 + 5 + 640 = 666.

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 = 3440375595 and 3440375604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4450294 + ... + 4451066.

Almost surely, 2^3440375640 is an apocalyptic number.

3440375640 is a gapful number since it is divisible by the number (30) 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 3440375640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202526400).

3440375640 is an abundant number, since it is smaller than the sum of its proper divisors (8964677160).

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

3440375640 is a wasteful number, since it uses less digits than its factorization.

3440375640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3440375640 is about 58654.7154114654. The cubic root of 3440375640 is about 1509.6234079794.

The spelling of 3440375640 in words is "three billion, four hundred forty million, three hundred seventy-five thousand, six hundred forty".