3225359417616 has 240 divisors, whose sum is σ = 10774236982080. Its totient is φ = 921124431360.

The previous prime is 3225359417543. The next prime is 3225359417617. The reversal of 3225359417616 is 6167149535223.

3225359417616 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 3 + 5 + 9 + 4 + 17 + 616 = 666.

It is a super-2 number, since 2×3225359417616² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3225359417617) 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, 49648836 + ... + 49713756.

It is an arithmetic number, because the mean of its divisors is an integer number (44892654092).

Almost surely, 2^{3225359417616} is an apocalyptic number.

3225359417616 is a gapful number since it is divisible by the number (36) 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 3225359417616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387118491040).

3225359417616 is an abundant number, since it is smaller than the sum of its proper divisors (7548877564464).

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

3225359417616 is a wasteful number, since it uses less digits than its factorization.

3225359417616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67299 (or 67280 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 3225359417616 in words is "three trillion, two hundred twenty-five billion, three hundred fifty-nine million, four hundred seventeen thousand, six hundred sixteen".