3669250977600 has 1344 divisors, whose sum is σ = 14475168529920. Its totient is φ = 804519936000.

The previous prime is 3669250977599. The next prime is 3669250977607. The reversal of 3669250977600 is 67790529663.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669250977607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2464237656 + ... + 2464239144.

It is an arithmetic number, because the mean of its divisors is an integer number (10770214680).

Almost surely, 2^{3669250977600} is an apocalyptic number.

3669250977600 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 3669250977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237584264960).

3669250977600 is an abundant number, since it is smaller than the sum of its proper divisors (10805917552320).

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

3669250977600 is a wasteful number, since it uses less digits than its factorization.

3669250977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 60.

The spelling of 3669250977600 in words is "three trillion, six hundred sixty-nine billion, two hundred fifty million, nine hundred seventy-seven thousand, six hundred".