3694441320960 has 640 divisors, whose sum is σ = 13422055933440. Its totient is φ = 860040462336.

The previous prime is 3694441320949. The next prime is 3694441320971. The reversal of 3694441320960 is 690231444963.

It is an interprime number because it is at equal distance from previous prime (3694441320949) and next prime (3694441320971).

It is a tau number, because it is divible by the number of its divisors (640).

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, 204363442 + ... + 204381518.

It is an arithmetic number, because the mean of its divisors is an integer number (20971962396).

Almost surely, 2^{3694441320960} is an apocalyptic number.

3694441320960 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 3694441320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711027966720).

3694441320960 is an abundant number, since it is smaller than the sum of its proper divisors (9727614612480).

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

3694441320960 is a wasteful number, since it uses less digits than its factorization.

3694441320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18228 (or 18212 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 3694441320960 in words is "three trillion, six hundred ninety-four billion, four hundred forty-one million, three hundred twenty thousand, nine hundred sixty".