3452412966000 has 160 divisors (see below), whose sum is σ = 11319234451200. Its totient is φ = 905039238400.

The previous prime is 3452412965993. The next prime is 3452412966007. The reversal of 3452412966000 is 6692142543.

3452412966000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3452412965993) and next prime (3452412966007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452412966007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522290 + ... + 5230289.

It is an arithmetic number, because the mean of its divisors is an integer number (70745215320).

Almost surely, 2^{3452412966000} is an apocalyptic number.

3452412966000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3452412966000 is an abundant number, since it is smaller than the sum of its proper divisors (7866821485200).

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

3452412966000 is a wasteful number, since it uses less digits than its factorization.

3452412966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752664 (or 9752648 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 3452412966000 in words is "three trillion, four hundred fifty-two billion, four hundred twelve million, nine hundred sixty-six thousand".