3440194560 has 396 divisors, whose sum is σ = 13123587204. Its totient is φ = 832634880.

The previous prime is 3440194553. The next prime is 3440194561. The reversal of 3440194560 is 654910443.

3440194560 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 1 + 94 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 539725824 + 2900468736 = 23232^2 + 53856^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×3440194560² = 23669877221307187200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440194561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5575372 + ... + 5575988.

Almost surely, 2^3440194560 is an apocalyptic number.

3440194560 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 3440194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561793602).

3440194560 is an abundant number, since it is smaller than the sum of its proper divisors (9683392644).

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

3440194560 is a wasteful number, since it uses less digits than its factorization.

3440194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3440194560 is about 58653.1717812430. The cubic root of 3440194560 is about 1509.5969217822.

The spelling of 3440194560 in words is "three billion, four hundred forty million, one hundred ninety-four thousand, five hundred sixty".