3265010400 has 144 divisors (see below), whose sum is σ = 10887146928. Its totient is φ = 849408000.

The previous prime is 3265010389. The next prime is 3265010417. The reversal of 3265010400 is 40105623.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 81810 + ... + 114990.

It is an arithmetic number, because the mean of its divisors is an integer number (75605187).

Almost surely, 2^3265010400 is an apocalyptic number.

3265010400 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 3265010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443573464).

3265010400 is an abundant number, since it is smaller than the sum of its proper divisors (7622136528).

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

3265010400 is a wasteful number, since it uses less digits than its factorization.

3265010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33245 (or 33232 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3265010400 is about 57140.2695128401. The cubic root of 3265010400 is about 1483.5249555360.

The spelling of 3265010400 in words is "three billion, two hundred sixty-five million, ten thousand, four hundred".