3265522400 has 288 divisors, whose sum is σ = 9809372160. Its totient is φ = 1036523520.

The previous prime is 3265522397. The next prime is 3265522411. The reversal of 3265522400 is 42255623.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5000474 + ... + 5001126.

It is an arithmetic number, because the mean of its divisors is an integer number (34060320).

Almost surely, 2^3265522400 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 3265522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904686080).

3265522400 is an abundant number, since it is smaller than the sum of its proper divisors (6543849760).

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

3265522400 is a wasteful number, since it uses less digits than its factorization.

3265522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 3265522400 is about 57144.7495400934. The cubic root of 3265522400 is about 1483.6024974102.

It can be divided in two parts, 32655 and 22400, that added together give a palindrome (55055).

The spelling of 3265522400 in words is "three billion, two hundred sixty-five million, five hundred twenty-two thousand, four hundred".