3605940809856 has 896 divisors, whose sum is σ = 13564011081600. Its totient is φ = 927148032000.

The previous prime is 3605940809831. The next prime is 3605940809857. The reversal of 3605940809856 is 6589080495063.

3605940809856 is a `hidden beast` number, since 36 + 0 + 594 + 0 + 8 + 0 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3605940809793 and 3605940809802.

It is not an unprimeable number, because it can be changed into a prime (3605940809857) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 725684940 + ... + 725689908.

It is an arithmetic number, because the mean of its divisors is an integer number (15138405225).

Almost surely, 2^{3605940809856} is an apocalyptic number.

3605940809856 is a gapful number since it is divisible by the number (36) 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 3605940809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782005540800).

3605940809856 is an abundant number, since it is smaller than the sum of its proper divisors (9958070271744).

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

3605940809856 is a wasteful number, since it uses less digits than its factorization.

3605940809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 3605940809856 in words is "three trillion, six hundred five billion, nine hundred forty million, eight hundred nine thousand, eight hundred fifty-six".