3697326103680 has 1728 divisors, whose sum is σ = 15379546291200. Its totient is φ = 846929571840.

The previous prime is 3697326103567. The next prime is 3697326103739. The reversal of 3697326103680 is 863016237963.

3697326103680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9653592769 + ... + 9653593151.

It is an arithmetic number, because the mean of its divisors is an integer number (8900200400).

Almost surely, 2^{3697326103680} is an apocalyptic number.

3697326103680 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 3697326103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689773145600).

3697326103680 is an abundant number, since it is smaller than the sum of its proper divisors (11682220187520).

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

3697326103680 is an equidigital number, since it uses as much as digits as its factorization.

3697326103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3697326103680 in words is "three trillion, six hundred ninety-seven billion, three hundred twenty-six million, one hundred three thousand, six hundred eighty".