3252008286720 has 1920 divisors, whose sum is σ = 13207954636800. Its totient is φ = 755453952000.

The previous prime is 3252008286643. The next prime is 3252008286731. The reversal of 3252008286720 is 276828002523.

It is a happy number.

3252008286720 is a `hidden beast` number, since 32 + 520 + 0 + 8 + 28 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 21536478645 + ... + 21536478795.

It is an arithmetic number, because the mean of its divisors is an integer number (6879143040).

Almost surely, 2^{3252008286720} is an apocalyptic number.

3252008286720 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 3252008286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603977318400).

3252008286720 is an abundant number, since it is smaller than the sum of its proper divisors (9955946350080).

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

3252008286720 is a wasteful number, since it uses less digits than its factorization.

3252008286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3252008286720 in words is "three trillion, two hundred fifty-two billion, eight million, two hundred eighty-six thousand, seven hundred twenty".