3656820572160 has 960 divisors, whose sum is σ = 14907275873280. Its totient is φ = 745160048640.

The previous prime is 3656820572137. The next prime is 3656820572173. The reversal of 3656820572160 is 612750286563.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555660070 + ... + 555666650.

It is an arithmetic number, because the mean of its divisors is an integer number (15528412368).

Almost surely, 2^{3656820572160} is an apocalyptic number.

3656820572160 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 3656820572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453637936640).

3656820572160 is an abundant number, since it is smaller than the sum of its proper divisors (11250455301120).

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

3656820572160 is a wasteful number, since it uses less digits than its factorization.

3656820572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 3656820572160 in words is "three trillion, six hundred fifty-six billion, eight hundred twenty million, five hundred seventy-two thousand, one hundred sixty".