3226398800 has 60 divisors (see below), whose sum is σ = 7778161020. Its totient is φ = 1286108160.

The previous prime is 3226398787. The next prime is 3226398803. The reversal of 3226398800 is 88936223.

It can be written as a sum of positive squares in 6 ways, for example, as 10601536 + 3215797264 = 3256^2 + 56708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226398803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103436 + ... + 130964.

It is an arithmetic number, because the mean of its divisors is an integer number (129636017).

Almost surely, 2^3226398800 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 3226398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889080510).

3226398800 is an abundant number, since it is smaller than the sum of its proper divisors (4551762220).

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

3226398800 is a wasteful number, since it uses less digits than its factorization.

3226398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 3226398800 is about 56801.3978701229. The cubic root of 3226398800 is about 1477.6537575123.

The spelling of 3226398800 in words is "three billion, two hundred twenty-six million, three hundred ninety-eight thousand, eight hundred".