3262431006 has 72 divisors (see below), whose sum is σ = 7480183464. Its totient is φ = 1066731120.

The previous prime is 3262431001. The next prime is 3262431013. The reversal of 3262431006 is 6001342623.

3262431006 is a `hidden beast` number, since 3 + 2 + 624 + 31 + 0 + 0 + 6 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3262431001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693121 + ... + 697811.

It is an arithmetic number, because the mean of its divisors is an integer number (103891437).

Almost surely, 2^3262431006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3262431006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740091732).

3262431006 is an abundant number, since it is smaller than the sum of its proper divisors (4217752458).

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

3262431006 is an frugal number, since it uses more digits than its factorization.

3262431006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3262431006 is about 57117.6943337176. The cubic root of 3262431006 is about 1483.1341856224.

Adding to 3262431006 its reverse (6001342623), we get a palindrome (9263773629).

The spelling of 3262431006 in words is "three billion, two hundred sixty-two million, four hundred thirty-one thousand, six".