3604013683776 has 1323 divisors, whose sum is σ = 12792206410837. Its totient is φ = 1006012846080.

The previous prime is 3604013683771. The next prime is 3604013683789. The reversal of 3604013683776 is 6773863104063.

The square root of 3604013683776 is 1898424.

It is a perfect power (a square), and thus also a powerful number.

3604013683776 is a `hidden beast` number, since 3 + 60 + 401 + 36 + 83 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2805893006400 + 798120677376 = 1675080^2 + 893376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3604013683771) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 76681142185 + ... + 76681142231.

Almost surely, 2^{3604013683776} is an apocalyptic number.

3604013683776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3604013683776 is the 1898424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3604013683776

3604013683776 is an abundant number, since it is smaller than the sum of its proper divisors (9188192727061).

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

3604013683776 is an equidigital number, since it uses as much as digits as its factorization.

3604013683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3604013683776 in words is "three trillion, six hundred four billion, thirteen million, six hundred eighty-three thousand, seven hundred seventy-six".