3666258892800 has 1152 divisors, whose sum is σ = 15645473625600. Its totient is φ = 824131584000.

The previous prime is 3666258892609. The next prime is 3666258892801. The reversal of 3666258892800 is 82988526663.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666258892801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 590281695 + ... + 590287905.

It is an arithmetic number, because the mean of its divisors is an integer number (13581140300).

Almost surely, 2^{3666258892800} is an apocalyptic number.

3666258892800 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 3666258892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822736812800).

3666258892800 is an abundant number, since it is smaller than the sum of its proper divisors (11979214732800).

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

3666258892800 is a wasteful number, since it uses less digits than its factorization.

3666258892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3666258892800 in words is "three trillion, six hundred sixty-six billion, two hundred fifty-eight million, eight hundred ninety-two thousand, eight hundred".