3673419400800 has 720 divisors, whose sum is σ = 14195416435200. Its totient is φ = 921829248000.

The previous prime is 3673419400787. The next prime is 3673419400801. The reversal of 3673419400800 is 80049143763.

3673419400800 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673419400801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 185901321 + ... + 185921079.

It is an arithmetic number, because the mean of its divisors is an integer number (19715856160).

Almost surely, 2^{3673419400800} is an apocalyptic number.

3673419400800 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 3673419400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097708217600).

3673419400800 is an abundant number, since it is smaller than the sum of its proper divisors (10521997034400).

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

3673419400800 is a wasteful number, since it uses less digits than its factorization.

3673419400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19961 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3673419400800 in words is "three trillion, six hundred seventy-three billion, four hundred nineteen million, four hundred thousand, eight hundred".