3261246400 has 84 divisors (see below), whose sum is σ = 8126597920. Its totient is φ = 1287936000.

The previous prime is 3261246367. The next prime is 3261246467. The reversal of 3261246400 is 46421623.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 113500 + ... + 139300.

Almost surely, 2^3261246400 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 3261246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063298960).

3261246400 is an abundant number, since it is smaller than the sum of its proper divisors (4865351520).

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

3261246400 is a wasteful number, since it uses less digits than its factorization.

3261246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25902 (or 25887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3261246400 is about 57107.3235233451. The cubic root of 3261246400 is about 1482.9546525947.

The spelling of 3261246400 in words is "three billion, two hundred sixty-one million, two hundred forty-six thousand, four hundred".