3442442220 has 192 divisors, whose sum is σ = 12471459840. Its totient is φ = 771952896.

The previous prime is 3442442209. The next prime is 3442442279. The reversal of 3442442220 is 222442443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191749 + ... + 208931.

It is an arithmetic number, because the mean of its divisors is an integer number (64955520).

Almost surely, 2^3442442220 is an apocalyptic number.

3442442220 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 3442442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235729920).

3442442220 is an abundant number, since it is smaller than the sum of its proper divisors (9029017620).

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

3442442220 is a wasteful number, since it uses less digits than its factorization.

3442442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 3442442220 is about 58672.3292532349. The cubic root of 3442442220 is about 1509.9256165572.

Adding to 3442442220 its reverse (222442443), we get a palindrome (3664884663).

The spelling of 3442442220 in words is "three billion, four hundred forty-two million, four hundred forty-two thousand, two hundred twenty".