3469946008320 has 432 divisors, whose sum is σ = 13786403904000. Its totient is φ = 796924846080.

The previous prime is 3469946008283. The next prime is 3469946008381. The reversal of 3469946008320 is 238006499643.

3469946008320 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 9 + 4 + 600 + 8 + 3 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1687081 + ... + 3128279.

It is an arithmetic number, because the mean of its divisors is an integer number (31912972000).

Almost surely, 2^{3469946008320} is an apocalyptic number.

3469946008320 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 3469946008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893201952000).

3469946008320 is an abundant number, since it is smaller than the sum of its proper divisors (10316457895680).

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

3469946008320 is a wasteful number, since it uses less digits than its factorization.

3469946008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441256 (or 1441239 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3469946008320 in words is "three trillion, four hundred sixty-nine billion, nine hundred forty-six million, eight thousand, three hundred twenty".