3661845626880 has 864 divisors, whose sum is σ = 14981057215488. Its totient is φ = 809710387200.

The previous prime is 3661845626843. The next prime is 3661845626909. The reversal of 3661845626880 is 886265481663.

It is a happy number.

3661845626880 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 8 + 4 + 562 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×3661845626880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279916650 + ... + 1279919510.

It is an arithmetic number, because the mean of its divisors is an integer number (17339186592).

Almost surely, 2^{3661845626880} is an apocalyptic number.

3661845626880 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 3661845626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490528607744).

3661845626880 is an abundant number, since it is smaller than the sum of its proper divisors (11319211588608).

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

3661845626880 is an equidigital number, since it uses as much as digits as its factorization.

3661845626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3661845626880 in words is "three trillion, six hundred sixty-one billion, eight hundred forty-five million, six hundred twenty-six thousand, eight hundred eighty".