3464356853664 has 288 divisors, whose sum is σ = 11338828300800. Its totient is φ = 982836633600.

The previous prime is 3464356853647. The next prime is 3464356853717. The reversal of 3464356853664 is 4663586534643.

3464356853664 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 3 + 568 + 5 + 3 + 6 + 64 = 666.

3464356853664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169553529 + ... + 169573959.

It is an arithmetic number, because the mean of its divisors is an integer number (39370931600).

Almost surely, 2^{3464356853664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464356853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669414150400).

3464356853664 is an abundant number, since it is smaller than the sum of its proper divisors (7874471447136).

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

3464356853664 is a wasteful number, since it uses less digits than its factorization.

3464356853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21044 (or 21033 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 63.

The spelling of 3464356853664 in words is "three trillion, four hundred sixty-four billion, three hundred fifty-six million, eight hundred fifty-three thousand, six hundred sixty-four".