3684412396800 has 540 divisors, whose sum is σ = 14062462750336. Its totient is φ = 950811955200.

The previous prime is 3684412396793. The next prime is 3684412396807. The reversal of 3684412396800 is 86932144863.

3684412396800 is a `hidden beast` number, since 3 + 68 + 4 + 412 + 3 + 96 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3684412396793) and next prime (3684412396807).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684412396807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15955767 + ... + 16185033.

Almost surely, 2^{3684412396800} is an apocalyptic number.

3684412396800 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 3684412396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031231375168).

3684412396800 is an abundant number, since it is smaller than the sum of its proper divisors (10378050353536).

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

3684412396800 is a wasteful number, since it uses less digits than its factorization.

3684412396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229336 (or 229308 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3684412396800 in words is "three trillion, six hundred eighty-four billion, four hundred twelve million, three hundred ninety-six thousand, eight hundred".