3696943420800 has 960 divisors, whose sum is σ = 15679948204800. Its totient is φ = 840221061120.

The previous prime is 3696943420763. The next prime is 3696943420831. The reversal of 3696943420800 is 80243496963.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 324771909 + ... + 324783291.

It is an arithmetic number, because the mean of its divisors is an integer number (16333279380).

Almost surely, 2^{3696943420800} is an apocalyptic number.

3696943420800 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 3696943420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839974102400).

3696943420800 is an abundant number, since it is smaller than the sum of its proper divisors (11983004784000).

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

3696943420800 is a wasteful number, since it uses less digits than its factorization.

3696943420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3696943420800 in words is "three trillion, six hundred ninety-six billion, nine hundred forty-three million, four hundred twenty thousand, eight hundred".