3265987200 has 576 divisors, whose sum is σ = 12847079520. Its totient is φ = 726835200.

The previous prime is 3265987199. The next prime is 3265987217. The reversal of 3265987200 is 27895623.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24931135 + ... + 24931265.

Almost surely, 2^3265987200 is an apocalyptic number.

3265987200 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 3265987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423539760).

3265987200 is an abundant number, since it is smaller than the sum of its proper divisors (9581092320).

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

3265987200 is a wasteful number, since it uses less digits than its factorization.

3265987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3265987200 is about 57148.8162607066. The cubic root of 3265987200 is about 1483.6728838744.

The spelling of 3265987200 in words is "three billion, two hundred sixty-five million, nine hundred eighty-seven thousand, two hundred".