3442055223200 has 144 divisors (see below), whose sum is σ = 9177764460480. Its totient is φ = 1250161920000.

The previous prime is 3442055223157. The next prime is 3442055223223. The reversal of 3442055223200 is 23225502443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7150100 + ... + 7616300.

It is an arithmetic number, because the mean of its divisors is an integer number (63734475420).

Almost surely, 2^{3442055223200} 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 3442055223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588882230240).

3442055223200 is an abundant number, since it is smaller than the sum of its proper divisors (5735709237280).

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

3442055223200 is a wasteful number, since it uses less digits than its factorization.

3442055223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467071 (or 467058 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 3442055223200 in words is "three trillion, four hundred forty-two billion, fifty-five million, two hundred twenty-three thousand, two hundred".