3473469168000 has 768 divisors, whose sum is σ = 12514047773760. Its totient is φ = 851882803200.

The previous prime is 3473469167981. The next prime is 3473469168163. The reversal of 3473469168000 is 8619643743.

It is a super-2 number, since 2×3473469168000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2863535394 + ... + 2863536606.

Almost surely, 2^{3473469168000} is an apocalyptic number.

3473469168000 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 3473469168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257023886880).

3473469168000 is an abundant number, since it is smaller than the sum of its proper divisors (9040578605760).

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

3473469168000 is a wasteful number, since it uses less digits than its factorization.

3473469168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3473469168000 in words is "three trillion, four hundred seventy-three billion, four hundred sixty-nine million, one hundred sixty-eight thousand".