3456814616640 has 1008 divisors, whose sum is σ = 15585853780224. Its totient is φ = 687057592320.

The previous prime is 3456814616639. The next prime is 3456814616669. The reversal of 3456814616640 is 466164186543.

3456814616640 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 8 + 14 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56074474 + ... + 56136086.

It is an arithmetic number, because the mean of its divisors is an integer number (15462156528).

Almost surely, 2^{3456814616640} is an apocalyptic number.

3456814616640 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 3456814616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792926890112).

3456814616640 is an abundant number, since it is smaller than the sum of its proper divisors (12129039163584).

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

3456814616640 is a wasteful number, since it uses less digits than its factorization.

3456814616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61688 (or 61664 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3456814616640 in words is "three trillion, four hundred fifty-six billion, eight hundred fourteen million, six hundred sixteen thousand, six hundred forty".