3322425600 has 1080 divisors, whose sum is σ = 14490713160. Its totient is φ = 743178240.

The previous prime is 3322425581. The next prime is 3322425637. The reversal of 3322425600 is 65242233.

3322425600 is a `hidden beast` number, since 3 + 32 + 2 + 4 + 25 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 967458816 + 2354966784 = 31104^2 + 48528^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3322425600² = 22077023735070720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2550 × 522 × 2496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114566386 + ... + 114566414.

It is an arithmetic number, because the mean of its divisors is an integer number (13417327).

Almost surely, 2^3322425600 is an apocalyptic number.

3322425600 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 3322425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245356580).

3322425600 is an abundant number, since it is smaller than the sum of its proper divisors (11168287560).

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

3322425600 is a wasteful number, since it uses less digits than its factorization.

3322425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3322425600 is about 57640.4857717213. The cubic root of 3322425600 is about 1492.1704027116.

Adding to 3322425600 its reverse (65242233), we get a palindrome (3387667833).

The spelling of 3322425600 in words is "three billion, three hundred twenty-two million, four hundred twenty-five thousand, six hundred".