3651160665600 has 2400 divisors, whose sum is σ = 16570388552256. Its totient is φ = 775028736000.

The previous prime is 3651160665547. The next prime is 3651160665721. The reversal of 3651160665600 is 65660611563.

3651160665600 is a `hidden beast` number, since 36 + 5 + 1 + 1 + 6 + 0 + 6 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12461299054 + ... + 12461299346.

Almost surely, 2^{3651160665600} is an apocalyptic number.

3651160665600 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 3651160665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285194276128).

3651160665600 is an abundant number, since it is smaller than the sum of its proper divisors (12919227886656).

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

3651160665600 is a wasteful number, since it uses less digits than its factorization.

3651160665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3651160665600 in words is "three trillion, six hundred fifty-one billion, one hundred sixty million, six hundred sixty-five thousand, six hundred".