3661977043800 has 192 divisors, whose sum is σ = 12654040089600. Its totient is φ = 973386806400.

The previous prime is 3661977043793. The next prime is 3661977043841. The reversal of 3661977043800 is 83407791663.

3661977043800 is a `hidden beast` number, since 3 + 6 + 6 + 197 + 70 + 4 + 380 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589137 + ... + 2769663.

It is an arithmetic number, because the mean of its divisors is an integer number (65906458800).

Almost surely, 2^{3661977043800} is an apocalyptic number.

3661977043800 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 3661977043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327020044800).

3661977043800 is an abundant number, since it is smaller than the sum of its proper divisors (8992063045800).

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

3661977043800 is a wasteful number, since it uses less digits than its factorization.

3661977043800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180863 (or 2180848 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3661977043800 in words is "three trillion, six hundred sixty-one billion, nine hundred seventy-seven million, forty-three thousand, eight hundred".