3225705120 has 600 divisors, whose sum is σ = 13258988820. Its totient is φ = 735989760.

The previous prime is 3225705073. The next prime is 3225705149. The reversal of 3225705120 is 215075223.

3225705120 is a `hidden beast` number, since 3 + 22 + 570 + 51 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3206730384 + 18974736 = 56628^2 + 4356^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 189747352 + ... + 189747368.

Almost surely, 2^3225705120 is an apocalyptic number.

3225705120 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 3225705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629494410).

3225705120 is an abundant number, since it is smaller than the sum of its proper divisors (10033283700).

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

3225705120 is an equidigital number, since it uses as much as digits as its factorization.

3225705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3225705120 is about 56795.2913541255. The cubic root of 3225705120 is about 1477.5478507526.

The spelling of 3225705120 in words is "three billion, two hundred twenty-five million, seven hundred five thousand, one hundred twenty".