3226142040 has 256 divisors, whose sum is σ = 10886400000. Its totient is φ = 758138880.

The previous prime is 3226142027. The next prime is 3226142053. The reversal of 3226142040 is 402416223.

It is an interprime number because it is at equal distance from previous prime (3226142027) and next prime (3226142053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3226142040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9243786 + ... + 9244134.

It is an arithmetic number, because the mean of its divisors is an integer number (42525000).

Almost surely, 2^3226142040 is an apocalyptic number.

3226142040 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 3226142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200000).

3226142040 is an abundant number, since it is smaller than the sum of its proper divisors (7660257960).

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

3226142040 is a wasteful number, since it uses less digits than its factorization.

3226142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3226142040 is about 56799.1376695104. The cubic root of 3226142040 is about 1477.6145587578.

Adding to 3226142040 its reverse (402416223), we get a palindrome (3628558263).

The spelling of 3226142040 in words is "three billion, two hundred twenty-six million, one hundred forty-two thousand, forty".