3452803780608 has 1456 divisors, whose sum is σ = 12971049522816. Its totient is φ = 894361927680.

The previous prime is 3452803780607. The next prime is 3452803780609. The reversal of 3452803780608 is 8060873082543.

3452803780608 is a `hidden beast` number, since 3 + 4 + 5 + 28 + 0 + 3 + 7 + 8 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (3452803780607) and next prime (3452803780609).

It is a tau number, because it is divible by the number of its divisors (1456).

It is a super-3 number, since 3×3452803780608³ (a number of 39 digits) contains 333 as substring.

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 (3452803780603) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26357280703 + ... + 26357280833.

Almost surely, 2^{3452803780608} 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 3452803780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485524761408).

3452803780608 is an abundant number, since it is smaller than the sum of its proper divisors (9518245742208).

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

3452803780608 is an equidigital number, since it uses as much as digits as its factorization.

3452803780608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3452803780608 in words is "three trillion, four hundred fifty-two billion, eight hundred three million, seven hundred eighty thousand, six hundred eight".