3252009661992 has 640 divisors, whose sum is σ = 11470417136640. Its totient is φ = 837867110400.

The previous prime is 3252009661933. The next prime is 3252009662053. The reversal of 3252009661992 is 2991669002523.

It is a happy number.

3252009661992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2707750992 + ... + 2707752192.

It is an arithmetic number, because the mean of its divisors is an integer number (17922526776).

Almost surely, 2^{3252009661992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252009661992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735208568320).

3252009661992 is an abundant number, since it is smaller than the sum of its proper divisors (8218407474648).

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

3252009661992 is a wasteful number, since it uses less digits than its factorization.

3252009661992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3252009661992 in words is "three trillion, two hundred fifty-two billion, nine million, six hundred sixty-one thousand, nine hundred ninety-two".