3680225280 has 672 divisors, whose sum is σ = 14501705400. Its totient is φ = 891813888.

The previous prime is 3680225279. The next prime is 3680225281. The reversal of 3680225280 is 825220863.

3680225280 is a `hidden beast` number, since 36 + 80 + 22 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3680225279) and next prime (3680225281).

It can be written as a sum of positive squares in 4 ways, for example, as 3351020544 + 329204736 = 57888^2 + 18144^2 .

It is a super-2 number, since 2×3680225280² = 27088116223102156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3680225281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126904306 + ... + 126904334.

Almost surely, 2^3680225280 is an apocalyptic number.

3680225280 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 3680225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250852700).

3680225280 is an abundant number, since it is smaller than the sum of its proper divisors (10821480120).

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

3680225280 is an equidigital number, since it uses as much as digits as its factorization.

3680225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3680225280 is about 60664.8603394090. The cubic root of 3680225280 is about 1543.9200295055.

The spelling of 3680225280 in words is "three billion, six hundred eighty million, two hundred twenty-five thousand, two hundred eighty".