3265867440 has 360 divisors, whose sum is σ = 12696531120. Its totient is φ = 749675520.

The previous prime is 3265867417. The next prime is 3265867441. The reversal of 3265867440 is 447685623.

3265867440 is a `hidden beast` number, since 3 + 26 + 586 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3265867441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1654294 + ... + 1656266.

It is an arithmetic number, because the mean of its divisors is an integer number (35268142).

Almost surely, 2^3265867440 is an apocalyptic number.

3265867440 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 3265867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348265560).

3265867440 is an abundant number, since it is smaller than the sum of its proper divisors (9430663680).

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

3265867440 is a wasteful number, since it uses less digits than its factorization.

3265867440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3265867440 is about 57147.7684603695. The cubic root of 3265867440 is about 1483.6547487924.

The spelling of 3265867440 in words is "three billion, two hundred sixty-five million, eight hundred sixty-seven thousand, four hundred forty".