3469615672320 has 704 divisors, whose sum is σ = 14109310064640. Its totient is φ = 792074059776.

The previous prime is 3469615672273. The next prime is 3469615672321. The reversal of 3469615672320 is 232765169643.

3469615672320 is a `hidden beast` number, since 3 + 46 + 9 + 6 + 1 + 567 + 2 + 32 + 0 = 666.

It is a super-3 number, since 3×3469615672320³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (3469615672321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1028642154 + ... + 1028645526.

Almost surely, 2^{3469615672320} is an apocalyptic number.

3469615672320 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 3469615672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054655032320).

3469615672320 is an abundant number, since it is smaller than the sum of its proper divisors (10639694392320).

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

3469615672320 is a wasteful number, since it uses less digits than its factorization.

3469615672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3469615672320 in words is "three trillion, four hundred sixty-nine billion, six hundred fifteen million, six hundred seventy-two thousand, three hundred twenty".