3436664000000 has 840 divisors, whose sum is σ = 10905839622216. Its totient is φ = 1069824000000.

The previous prime is 3436663999987. The next prime is 3436664000041. The reversal of 3436664000000 is 4666343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4311999602 + ... + 4312000398.

Almost surely, 2^{3436664000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3436664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452919811108).

3436664000000 is an abundant number, since it is smaller than the sum of its proper divisors (7469175622216).

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

3436664000000 is an frugal number, since it uses more digits than its factorization.

3436664000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 3436664000000 its reverse (4666343), we get a palindrome (3436668666343).

The spelling of 3436664000000 in words is "three trillion, four hundred thirty-six billion, six hundred sixty-four million", and thus it is an aban number.