3665506020600 has 192 divisors, whose sum is σ = 11611503959040. Its totient is φ = 956121408000.

The previous prime is 3665506020577. The next prime is 3665506020677. The reversal of 3665506020600 is 60206055663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50244150 + ... + 50317050.

It is an arithmetic number, because the mean of its divisors is an integer number (60476583120).

Almost surely, 2^{3665506020600} is an apocalyptic number.

3665506020600 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 3665506020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805751979520).

3665506020600 is an abundant number, since it is smaller than the sum of its proper divisors (7945997938440).

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

3665506020600 is a wasteful number, since it uses less digits than its factorization.

3665506020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74750 (or 74741 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 3665506020600 in words is "three trillion, six hundred sixty-five billion, five hundred six million, twenty thousand, six hundred".