3442210506 has 240 divisors, whose sum is σ = 9782704800. Its totient is φ = 898454592.

The previous prime is 3442210483. The next prime is 3442210543. The reversal of 3442210506 is 6050122443.

3442210506 is a `hidden beast` number, since 3 + 442 + 210 + 5 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3442210506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4373445 + ... + 4374231.

It is an arithmetic number, because the mean of its divisors is an integer number (40761270).

Almost surely, 2^3442210506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442210506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891352400).

3442210506 is an abundant number, since it is smaller than the sum of its proper divisors (6340494294).

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

3442210506 is a wasteful number, since it uses less digits than its factorization.

3442210506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3442210506 is about 58670.3545753731. The cubic root of 3442210506 is about 1509.8917376294.

Adding to 3442210506 its reverse (6050122443), we get a palindrome (9492332949).

The spelling of 3442210506 in words is "three billion, four hundred forty-two million, two hundred ten thousand, five hundred six".