3693372894225 has 135 divisors (see below), whose sum is σ = 7959671779521. Its totient is φ = 1688122296000.

The previous prime is 3693372894223. The next prime is 3693372894287. The reversal of 3693372894225 is 5224982733963.

It is a happy number.

The square root of 3693372894225 is 1921815.

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

3693372894225 is a `hidden beast` number, since 3 + 69 + 3 + 3 + 72 + 89 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242144721 + 3693130749504 = 15561^2 + 1921752^2 .

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

It is not a de Polignac number, because 3693372894225 - 2¹ = 3693372894223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3693372894223) 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, 605368675 + ... + 605374775.

Almost surely, 2^{3693372894225} is an apocalyptic number.

3693372894225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3693372894225 is the 1921815-th square number.

3693372894225 is the 960908-th centered octagonal number.

It is an amenable number.

3693372894225 is an abundant number, since it is smaller than the sum of its proper divisors (4266298885296).

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

3693372894225 is an frugal number, since it uses more digits than its factorization.

3693372894225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 6116 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 3693372894225 in words is "three trillion, six hundred ninety-three billion, three hundred seventy-two million, eight hundred ninety-four thousand, two hundred twenty-five".