3443205870720 has 1024 divisors, whose sum is σ = 15694398259200. Its totient is φ = 692383334400.

The previous prime is 3443205870697. The next prime is 3443205870737. The reversal of 3443205870720 is 270785023443.

3443205870720 is a `hidden beast` number, since 3 + 4 + 43 + 2 + 0 + 587 + 0 + 7 + 20 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41205622 + ... + 41289098.

It is an arithmetic number, because the mean of its divisors is an integer number (15326560800).

Almost surely, 2^{3443205870720} is an apocalyptic number.

3443205870720 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 3443205870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847199129600).

3443205870720 is an abundant number, since it is smaller than the sum of its proper divisors (12251192388480).

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

3443205870720 is a wasteful number, since it uses less digits than its factorization.

3443205870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83554 (or 83536 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3443205870720 in words is "three trillion, four hundred forty-three billion, two hundred five million, eight hundred seventy thousand, seven hundred twenty".