3353785344000 has 3584 divisors, whose sum is σ = 16121249464320. Its totient is φ = 668860416000.

The previous prime is 3353785343893. The next prime is 3353785344011. The reversal of 3353785344000 is 4435873533.

3353785344000 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 78 + 534 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×3353785344000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77995007979 + ... + 77995008021.

It is an arithmetic number, because the mean of its divisors is an integer number (4498116480).

Almost surely, 2^{3353785344000} is an apocalyptic number.

3353785344000 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 3353785344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060624732160).

3353785344000 is an abundant number, since it is smaller than the sum of its proper divisors (12767464120320).

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

3353785344000 is a wasteful number, since it uses less digits than its factorization.

3353785344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3353785344000 in words is "three trillion, three hundred fifty-three billion, seven hundred eighty-five million, three hundred forty-four thousand".