3619827225 has 135 divisors (see below), whose sum is σ = 7840944111. Its totient is φ = 1646114400.

The previous prime is 3619827223. The next prime is 3619827259. The reversal of 3619827225 is 5227289163.

The square root of 3619827225 is 60165.

It is a perfect power (a square), and thus also a powerful number.

3619827225 is a `hidden beast` number, since 3 + 619 + 8 + 2 + 7 + 2 + 25 = 666.

3619827225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1303137801 + 2316689424 = 36099^2 + 48132^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3619827225 - 2¹ = 3619827223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3619827223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18951880 + ... + 18952070.

Almost surely, 2^3619827225 is an apocalyptic number.

3619827225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3619827225 is the 60165-th square number.

3619827225 is the 30083-rd centered octagonal number.

It is an amenable number.

3619827225 is an abundant number, since it is smaller than the sum of its proper divisors (4221116886).

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

3619827225 is an equidigital number, since it uses as much as digits as its factorization.

3619827225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 206 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 3619827225 is about 1535.4273797851.

The spelling of 3619827225 in words is "three billion, six hundred nineteen million, eight hundred twenty-seven thousand, two hundred twenty-five".