3696311673600 has 1728 divisors, whose sum is σ = 15942179635200. Its totient is φ = 732859269120.

The previous prime is 3696311673469. The next prime is 3696311673643. The reversal of 3696311673600 is 63761136963.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2370949621 + ... + 2370951179.

It is an arithmetic number, because the mean of its divisors is an integer number (9225798400).

Almost surely, 2^{3696311673600} is an apocalyptic number.

3696311673600 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 3696311673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971089817600).

3696311673600 is an abundant number, since it is smaller than the sum of its proper divisors (12245867961600).

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

3696311673600 is a wasteful number, since it uses less digits than its factorization.

3696311673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 51.

It can be divided in two parts, 369631 and 1673600, that added together give a triangular number (2043231 = T₂₀₂₁).

The spelling of 3696311673600 in words is "three trillion, six hundred ninety-six billion, three hundred eleven million, six hundred seventy-three thousand, six hundred".