3445784064000 has 1040 divisors, whose sum is σ = 13525572883680. Its totient is φ = 870314803200.

The previous prime is 3445784063993. The next prime is 3445784064061. The reversal of 3445784064000 is 4604875443.

3445784064000 is a `hidden beast` number, since 34 + 4 + 578 + 4 + 0 + 6 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787965814 + ... + 787970186.

It is an arithmetic number, because the mean of its divisors is an integer number (13005358542).

Almost surely, 2^{3445784064000} is an apocalyptic number.

3445784064000 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 3445784064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762786441840).

3445784064000 is an abundant number, since it is smaller than the sum of its proper divisors (10079788819680).

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

3445784064000 is an equidigital number, since it uses as much as digits as its factorization.

3445784064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 3445784064000 in words is "three trillion, four hundred forty-five billion, seven hundred eighty-four million, sixty-four thousand".