3226535040 has 128 divisors (see below), whose sum is σ = 10317683520. Its totient is φ = 857640960.

The previous prime is 3226535033. The next prime is 3226535063. The reversal of 3226535040 is 405356223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3226534989 and 3226535007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632982 + ... + 638058.

Almost surely, 2^3226535040 is an apocalyptic number.

3226535040 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 3226535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158841760).

3226535040 is an abundant number, since it is smaller than the sum of its proper divisors (7091148480).

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

3226535040 is a wasteful number, since it uses less digits than its factorization.

3226535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3226535040 is about 56802.5971237231. The cubic root of 3226535040 is about 1477.6745560069.

The spelling of 3226535040 in words is "three billion, two hundred twenty-six million, five hundred thirty-five thousand, forty".