3205525434000 has 160 divisors (see below), whose sum is σ = 10358600578560. Its totient is φ = 852822784000.

The previous prime is 3205525433969. The next prime is 3205525434037. The reversal of 3205525434000 is 4345255023.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966216 + ... + 3205784.

It is an arithmetic number, because the mean of its divisors is an integer number (64741253616).

Almost surely, 2^{3205525434000} is an apocalyptic number.

3205525434000 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 3205525434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179300289280).

3205525434000 is an abundant number, since it is smaller than the sum of its proper divisors (7153075144560).

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

3205525434000 is a wasteful number, since it uses less digits than its factorization.

3205525434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240026 (or 1240010 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 3205525434000 in words is "three trillion, two hundred five billion, five hundred twenty-five million, four hundred thirty-four thousand".