3462436646130 has 384 divisors, whose sum is σ = 11183328426240. Its totient is φ = 676073717760.

The previous prime is 3462436646069. The next prime is 3462436646159. The reversal of 3462436646130 is 316466342643.

3462436646130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3462436646130.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179493526 + ... + 179512814.

It is an arithmetic number, because the mean of its divisors is an integer number (29123251110).

Almost surely, 2^{3462436646130} is an apocalyptic number.

3462436646130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3462436646130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591664213120).

3462436646130 is an abundant number, since it is smaller than the sum of its proper divisors (7720891780110).

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

3462436646130 is a wasteful number, since it uses less digits than its factorization.

3462436646130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19994 (or 19987 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 3462436646130 in words is "three trillion, four hundred sixty-two billion, four hundred thirty-six million, six hundred forty-six thousand, one hundred thirty".