3226538880 has 256 divisors, whose sum is σ = 11618452800. Its totient is φ = 846028800.

The previous prime is 3226538879. The next prime is 3226538881. The reversal of 3226538880 is 888356223.

3226538880 is a `hidden beast` number, since 3 + 2 + 265 + 388 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3226538879) and next prime (3226538881).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226538881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052550 + ... + 1055610.

Almost surely, 2^3226538880 is an apocalyptic number.

3226538880 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 3226538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809226400).

3226538880 is an abundant number, since it is smaller than the sum of its proper divisors (8391913920).

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

3226538880 is a wasteful number, since it uses less digits than its factorization.

3226538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3226538880 is about 56802.6309249845. The cubic root of 3226538880 is about 1477.6751422156.

The spelling of 3226538880 in words is "three billion, two hundred twenty-six million, five hundred thirty-eight thousand, eight hundred eighty".