3285142992000 has 768 divisors, whose sum is σ = 12336891840000. Its totient is φ = 836169523200.

The previous prime is 3285142991993. The next prime is 3285142992007. The reversal of 3285142992000 is 2992415823.

3285142992000 is a `hidden beast` number, since 3 + 28 + 514 + 2 + 99 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3285142991993) and next prime (3285142992007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3285142992007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2348207301 + ... + 2348208699.

It is an arithmetic number, because the mean of its divisors is an integer number (16063661250).

Almost surely, 2^{3285142992000} is an apocalyptic number.

3285142992000 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 3285142992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168445920000).

3285142992000 is an abundant number, since it is smaller than the sum of its proper divisors (9051748848000).

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

3285142992000 is a wasteful number, since it uses less digits than its factorization.

3285142992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3285142992000 in words is "three trillion, two hundred eighty-five billion, one hundred forty-two million, nine hundred ninety-two thousand".