3265416000 has 1344 divisors, whose sum is σ = 15824240640. Its totient is φ = 622080000.

The previous prime is 3265415987. The next prime is 3265416041. The reversal of 3265416000 is 6145623.

3265416000 is a `hidden beast` number, since 3 + 2 + 6 + 54 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 105335985 + ... + 105336015.

Almost surely, 2^3265416000 is an apocalyptic number.

3265416000 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 3265416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912120320).

3265416000 is an abundant number, since it is smaller than the sum of its proper divisors (12558824640).

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

3265416000 is a wasteful number, since it uses less digits than its factorization.

3265416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3265416000 is about 57143.8185633407. The cubic root of 3265416000 is about 1483.5863839067.

The spelling of 3265416000 in words is "three billion, two hundred sixty-five million, four hundred sixteen thousand".