3285777792000 has 1408 divisors, whose sum is σ = 12854865494016. Its totient is φ = 736665600000.

The previous prime is 3285777791987. The next prime is 3285777792001. The reversal of 3285777792000 is 2977775823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285777792001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3011711455 + ... + 3011712545.

Almost surely, 2^{3285777792000} is an apocalyptic number.

3285777792000 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 3285777792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427432747008).

3285777792000 is an abundant number, since it is smaller than the sum of its proper divisors (9569087702016).

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

3285777792000 is a wasteful number, since it uses less digits than its factorization.

3285777792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 3285777792000 in words is "three trillion, two hundred eighty-five billion, seven hundred seventy-seven million, seven hundred ninety-two thousand".