3246946560 has 864 divisors, whose sum is σ = 13874410368. Its totient is φ = 716636160.

The previous prime is 3246946519. The next prime is 3246946561. The reversal of 3246946560 is 656496423.

3246946560 is a `hidden beast` number, since 3 + 2 + 46 + 9 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246946561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478684 + ... + 44478756.

Almost surely, 2^3246946560 is an apocalyptic number.

3246946560 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 3246946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937205184).

3246946560 is an abundant number, since it is smaller than the sum of its proper divisors (10627463808).

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

3246946560 is a wasteful number, since it uses less digits than its factorization.

3246946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3246946560 is about 56981.9845214257. The cubic root of 3246946560 is about 1480.7840014663.

The spelling of 3246946560 in words is "three billion, two hundred forty-six million, nine hundred forty-six thousand, five hundred sixty".