3684499445025 has 243 divisors, whose sum is σ = 7796626826859. Its totient is φ = 1658452320000.

The previous prime is 3684499444981. The next prime is 3684499445111. The reversal of 3684499445025 is 5205449944863.

The square root of 3684499445025 is 1919505.

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

3684499445025 is a `hidden beast` number, since 3 + 6 + 84 + 4 + 9 + 9 + 44 + 502 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2680086587409 + 1004412857616 = 1637097^2 + 1002204^2 .

It is not a de Polignac number, because 3684499445025 - 2⁹ = 3684499444513 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 20356350435 + ... + 20356350615.

Almost surely, 2^{3684499445025} is an apocalyptic number.

3684499445025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3684499445025 is the 1919505-th square number.

3684499445025 is the 959753-rd centered octagonal number.

It is an amenable number.

3684499445025 is an abundant number, since it is smaller than the sum of its proper divisors (4112127381834).

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

3684499445025 is a wasteful number, since it uses less digits than its factorization.

3684499445025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 3684499445025 in words is "three trillion, six hundred eighty-four billion, four hundred ninety-nine million, four hundred forty-five thousand, twenty-five".