3655428345600 has 432 divisors, whose sum is σ = 13328691409152. Its totient is φ = 877550305280.

The previous prime is 3655428345571. The next prime is 3655428345619. The reversal of 3655428345600 is 65438245563.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 7263739 + ... + 7750661.

It is an arithmetic number, because the mean of its divisors is an integer number (30853452336).

Almost surely, 2^{3655428345600} is an apocalyptic number.

3655428345600 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 3655428345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664345704576).

3655428345600 is an abundant number, since it is smaller than the sum of its proper divisors (9673263063552).

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

3655428345600 is a wasteful number, since it uses less digits than its factorization.

3655428345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486992 (or 486973 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 3655428345600 in words is "three trillion, six hundred fifty-five billion, four hundred twenty-eight million, three hundred forty-five thousand, six hundred".