3463194240 has 288 divisors, whose sum is σ = 13147488900. Its totient is φ = 839393280.

The previous prime is 3463194227. The next prime is 3463194263. The reversal of 3463194240 is 424913643.

It is a happy number.

3463194240 is a `hidden beast` number, since 3 + 463 + 194 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3281914944 + 181279296 = 57288^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3463194195 and 3463194204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694476 + ... + 699444.

Almost surely, 2^3463194240 is an apocalyptic number.

3463194240 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 3463194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573744450).

3463194240 is an abundant number, since it is smaller than the sum of its proper divisors (9684294660).

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

3463194240 is a wasteful number, since it uses less digits than its factorization.

3463194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3463194240 is about 58848.9102702845. The cubic root of 3463194240 is about 1512.9536270206.

The spelling of 3463194240 in words is "three billion, four hundred sixty-three million, one hundred ninety-four thousand, two hundred forty".