3649677864525 has 432 divisors, whose sum is σ = 8433954442368. Its totient is φ = 1491654528000.

The previous prime is 3649677864517. The next prime is 3649677864571. The reversal of 3649677864525 is 5254687769463.

It is a happy number.

3649677864525 is a `hidden beast` number, since 3 + 6 + 4 + 96 + 7 + 7 + 8 + 6 + 4 + 525 = 666.

It is not a de Polignac number, because 3649677864525 - 2³ = 3649677864517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1961137095 + ... + 1961138955.

Almost surely, 2^{3649677864525} is an apocalyptic number.

3649677864525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3649677864525 is an abundant number, since it is smaller than the sum of its proper divisors (4784276577843).

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

3649677864525 is a wasteful number, since it uses less digits than its factorization.

3649677864525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2147 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 3649677864525 in words is "three trillion, six hundred forty-nine billion, six hundred seventy-seven million, eight hundred sixty-four thousand, five hundred twenty-five".