3246649640 has 256 divisors, whose sum is σ = 8622028800. Its totient is φ = 1090704384.

The previous prime is 3246649631. The next prime is 3246649661. The reversal of 3246649640 is 469466423.

It is a super-4 number, since 4×3246649640⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3246649591 and 3246649600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30342467 + ... + 30342573.

It is an arithmetic number, because the mean of its divisors is an integer number (33679800).

Almost surely, 2^3246649640 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 3246649640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

3246649640 is an abundant number, since it is smaller than the sum of its proper divisors (5375379160).

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

3246649640 is a wasteful number, since it uses less digits than its factorization.

3246649640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 3246649640 is about 56979.3790769959. The cubic root of 3246649640 is about 1480.7388628742.

The spelling of 3246649640 in words is "three billion, two hundred forty-six million, six hundred forty-nine thousand, six hundred forty".