3246606440 has 256 divisors, whose sum is σ = 9665740800. Its totient is φ = 951782400.

The previous prime is 3246606427. The next prime is 3246606457. The reversal of 3246606440 is 446066423.

It is a Cunningham number, because it is equal to 56979²-1.

It is a super-4 number, since 4×3246606440⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3246606440.

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, 3532301 + ... + 3533219.

It is an arithmetic number, because the mean of its divisors is an integer number (37756800).

Almost surely, 2^3246606440 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 3246606440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832870400).

3246606440 is an abundant number, since it is smaller than the sum of its proper divisors (6419134360).

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

3246606440 is a wasteful number, since it uses less digits than its factorization.

3246606440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 3246606440 is about 56978.9999912248. Note that the first 5 decimals coincide. The cubic root of 3246606440 is about 1480.7322952625.

The spelling of 3246606440 in words is "three billion, two hundred forty-six million, six hundred six thousand, four hundred forty".