3246661600 has 432 divisors, whose sum is σ = 10398271968. Its totient is φ = 979292160.

The previous prime is 3246661597. The next prime is 3246661601. The reversal of 3246661600 is 61666423.

It is a super-4 number, since 4×3246661600⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246661601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11720662 + ... + 11720938.

It is an arithmetic number, because the mean of its divisors is an integer number (24070074).

Almost surely, 2^3246661600 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 3246661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199135984).

3246661600 is an abundant number, since it is smaller than the sum of its proper divisors (7151610368).

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

3246661600 is a wasteful number, since it uses less digits than its factorization.

3246661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 3246661600 is about 56979.4840271479. The cubic root of 3246661600 is about 1480.7406811194.

The spelling of 3246661600 in words is "three billion, two hundred forty-six million, six hundred sixty-one thousand, six hundred".