3456446169330 has 448 divisors, whose sum is σ = 11640709801728. Its totient is φ = 717554350080.

The previous prime is 3456446169271. The next prime is 3456446169353. The reversal of 3456446169330 is 339616446543.

3456446169330 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 446 + 169 + 3 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 804383742 + ... + 804388038.

It is an arithmetic number, because the mean of its divisors is an integer number (25983727236).

Almost surely, 2^{3456446169330} is an apocalyptic number.

3456446169330 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 3456446169330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820354900864).

3456446169330 is an abundant number, since it is smaller than the sum of its proper divisors (8184263632398).

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

3456446169330 is a wasteful number, since it uses less digits than its factorization.

3456446169330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3456446169330 in words is "three trillion, four hundred fifty-six billion, four hundred forty-six million, one hundred sixty-nine thousand, three hundred thirty".