3655572959808 has 1680 divisors, whose sum is σ = 14874365943360. Its totient is φ = 874744012800.

The previous prime is 3655572959803. The next prime is 3655572959849. The reversal of 3655572959808 is 8089592755563.

3655572959808 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 5 + 7 + 29 + 598 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3655572959803) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1964304798 + ... + 1964306658.

It is an arithmetic number, because the mean of its divisors is an integer number (8853789252).

Almost surely, 2^{3655572959808} is an apocalyptic number.

3655572959808 is a gapful number since it is divisible by the number (38) 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 3655572959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437182971680).

3655572959808 is an abundant number, since it is smaller than the sum of its proper divisors (11218792983552).

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

3655572959808 is a wasteful number, since it uses less digits than its factorization.

3655572959808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 3655572959808 in words is "three trillion, six hundred fifty-five billion, five hundred seventy-two million, nine hundred fifty-nine thousand, eight hundred eight".