3650226655680 has 896 divisors, whose sum is σ = 14935104414720. Its totient is φ = 829440000000.

The previous prime is 3650226655679. The next prime is 3650226655763. The reversal of 3650226655680 is 865566220563.

3650226655680 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 2 + 2 + 6 + 6 + 556 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405531180 + ... + 405540180.

It is an arithmetic number, because the mean of its divisors is an integer number (16668643320).

Almost surely, 2^{3650226655680} is an apocalyptic number.

3650226655680 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 3650226655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467552207360).

3650226655680 is an abundant number, since it is smaller than the sum of its proper divisors (11284877759040).

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

3650226655680 is a wasteful number, since it uses less digits than its factorization.

3650226655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3650226655680 in words is "three trillion, six hundred fifty billion, two hundred twenty-six million, six hundred fifty-five thousand, six hundred eighty".