3225341656320 has 288 divisors, whose sum is σ = 12022980415488. Its totient is φ = 721535115264.

The previous prime is 3225341656307. The next prime is 3225341656331. The reversal of 3225341656320 is 236561435223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13134 + ... + 2539853.

It is an arithmetic number, because the mean of its divisors is an integer number (41746459776).

Almost surely, 2^{3225341656320} is an apocalyptic number.

3225341656320 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 3225341656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011490207744).

3225341656320 is an abundant number, since it is smaller than the sum of its proper divisors (8797638759168).

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

3225341656320 is a wasteful number, since it uses less digits than its factorization.

3225341656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553065 (or 2553051 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3225341656320 in words is "three trillion, two hundred twenty-five billion, three hundred forty-one million, six hundred fifty-six thousand, three hundred twenty".