3401966440 has 32 divisors (see below), whose sum is σ = 7759286280. Its totient is φ = 1342144512.

The previous prime is 3401966437. The next prime is 3401966461. The reversal of 3401966440 is 446691043.

3401966440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1724408676 + 1677557764 = 41526^2 + 40958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3401966440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579609 + ... + 585448.

Almost surely, 2^3401966440 is an apocalyptic number.

It is an amenable number.

3401966440 is an abundant number, since it is smaller than the sum of its proper divisors (4357319840).

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

3401966440 is a wasteful number, since it uses less digits than its factorization.

3401966440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165141 (or 1165137 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3401966440 is about 58326.3785949376. The cubic root of 3401966440 is about 1503.9844349623.

The spelling of 3401966440 in words is "three billion, four hundred one million, nine hundred sixty-six thousand, four hundred forty".