3661412025600 has 1944 divisors, whose sum is σ = 16486040450880. Its totient is φ = 800124272640.

The previous prime is 3661412025587. The next prime is 3661412025611. The reversal of 3661412025600 is 65202141663.

3661412025600 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 4 + 1 + 20 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1752709356 + ... + 1752711444.

Almost surely, 2^{3661412025600} is an apocalyptic number.

3661412025600 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 3661412025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243020225440).

3661412025600 is an abundant number, since it is smaller than the sum of its proper divisors (12824628425280).

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

3661412025600 is a wasteful number, since it uses less digits than its factorization.

3661412025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3661412025600 in words is "three trillion, six hundred sixty-one billion, four hundred twelve million, twenty-five thousand, six hundred".