3225180597600 has 288 divisors, whose sum is σ = 11313918362880. Its totient is φ = 793299363840.

The previous prime is 3225180597557. The next prime is 3225180597601. The reversal of 3225180597600 is 67950815223.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3225180597600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225180597601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42612591 + ... + 42688209.

It is an arithmetic number, because the mean of its divisors is an integer number (39284438760).

Almost surely, 2^{3225180597600} is an apocalyptic number.

3225180597600 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 3225180597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656959181440).

3225180597600 is an abundant number, since it is smaller than the sum of its proper divisors (8088737765280).

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

3225180597600 is a wasteful number, since it uses less digits than its factorization.

3225180597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77022 (or 77009 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 3225180597600 in words is "three trillion, two hundred twenty-five billion, one hundred eighty million, five hundred ninety-seven thousand, six hundred".