3420024442240 has 384 divisors, whose sum is σ = 9787677419520. Its totient is φ = 1119330938880.

The previous prime is 3420024442231. The next prime is 3420024442253. The reversal of 3420024442240 is 422444200243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495418377 + ... + 1495420663.

It is an arithmetic number, because the mean of its divisors is an integer number (25488743280).

Almost surely, 2^{3420024442240} 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 3420024442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893838709760).

3420024442240 is an abundant number, since it is smaller than the sum of its proper divisors (6367652977280).

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

3420024442240 is a wasteful number, since it uses less digits than its factorization.

3420024442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 3420024442240 its reverse (422444200243), we get a palindrome (3842468642483).

The spelling of 3420024442240 in words is "three trillion, four hundred twenty billion, twenty-four million, four hundred forty-two thousand, two hundred forty".