3430464672096 has 432 divisors, whose sum is σ = 12714354066960. Its totient is φ = 866946447360.

The previous prime is 3430464672013. The next prime is 3430464672097. The reversal of 3430464672096 is 6902764640343.

3430464672096 is a `hidden beast` number, since 3 + 4 + 30 + 46 + 467 + 20 + 96 = 666.

It is a super-3 number, since 3×3430464672096³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430464672097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5444950 + ... + 6042218.

It is an arithmetic number, because the mean of its divisors is an integer number (29431375155).

Almost surely, 2^{3430464672096} is an apocalyptic number.

3430464672096 is a gapful number since it is divisible by the number (36) 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 3430464672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357177033480).

3430464672096 is an abundant number, since it is smaller than the sum of its proper divisors (9283889394864).

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

3430464672096 is a wasteful number, since it uses less digits than its factorization.

3430464672096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597347 (or 597329 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3430464672096 in words is "three trillion, four hundred thirty billion, four hundred sixty-four million, six hundred seventy-two thousand, ninety-six".