3245105532000 has 576 divisors, whose sum is σ = 11263839035904. Its totient is φ = 816610636800.

The previous prime is 3245105531977. The next prime is 3245105532029. The reversal of 3245105532000 is 2355015423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225954677 + ... + 1225957323.

It is an arithmetic number, because the mean of its divisors is an integer number (19555276104).

Almost surely, 2^{3245105532000} is an apocalyptic number.

3245105532000 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 3245105532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631919517952).

3245105532000 is an abundant number, since it is smaller than the sum of its proper divisors (8018733503904).

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

3245105532000 is a wasteful number, since it uses less digits than its factorization.

3245105532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 3245105532000 in words is "three trillion, two hundred forty-five billion, one hundred five million, five hundred thirty-two thousand".