3396720768000 has 2816 divisors, whose sum is σ = 14678031513600. Its totient is φ = 693633024000.

The previous prime is 3396720767989. The next prime is 3396720768029. The reversal of 3396720768000 is 8670276933.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82846847980 + ... + 82846848020.

Almost surely, 2^{3396720768000} is an apocalyptic number.

3396720768000 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 3396720768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339015756800).

3396720768000 is an abundant number, since it is smaller than the sum of its proper divisors (11281310745600).

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

3396720768000 is a wasteful number, since it uses less digits than its factorization.

3396720768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 3396720768000 in words is "three trillion, three hundred ninety-six billion, seven hundred twenty million, seven hundred sixty-eight thousand".