3396565536000 has 1728 divisors, whose sum is σ = 14361353959680. Its totient is φ = 705090355200.

The previous prime is 3396565535947. The next prime is 3396565536011. The reversal of 3396565536000 is 6355656933.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4097183586 + ... + 4097184414.

Almost surely, 2^{3396565536000} is an apocalyptic number.

3396565536000 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 3396565536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180676979840).

3396565536000 is an abundant number, since it is smaller than the sum of its proper divisors (10964788423680).

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

3396565536000 is a wasteful number, since it uses less digits than its factorization.

3396565536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 51.

The spelling of 3396565536000 in words is "three trillion, three hundred ninety-six billion, five hundred sixty-five million, five hundred thirty-six thousand".