3442223644020 has 288 divisors, whose sum is σ = 12264748973568. Its totient is φ = 764955104256.

The previous prime is 3442223644007. The next prime is 3442223644049. The reversal of 3442223644020 is 204463222443.

3442223644020 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 2 + 2 + 3 + 644 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63702534 + ... + 63756546.

It is an arithmetic number, because the mean of its divisors is an integer number (42585933936).

Almost surely, 2^{3442223644020} is an apocalyptic number.

3442223644020 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 3442223644020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132374486784).

3442223644020 is an abundant number, since it is smaller than the sum of its proper divisors (8822525329548).

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

3442223644020 is a wasteful number, since it uses less digits than its factorization.

3442223644020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55439 (or 55434 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3442223644020 its reverse (204463222443), we get a palindrome (3646686866463).

The spelling of 3442223644020 in words is "three trillion, four hundred forty-two billion, two hundred twenty-three million, six hundred forty-four thousand, twenty".