3225177648 has 600 divisors, whose sum is σ = 12520537920. Its totient is φ = 793618560.

The previous prime is 3225177643. The next prime is 3225177649. The reversal of 3225177648 is 8467715223.

3225177648 is a `hidden beast` number, since 3 + 22 + 517 + 76 + 48 = 666.

It is a super-2 number, since 2×3225177648² = 20803541722317623808, which contains 22 as substring.

Its product of digits (564480) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (3225177643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 169746183 + ... + 169746201.

Almost surely, 2^3225177648 is an apocalyptic number.

3225177648 is a gapful number since it is divisible by the number (38) 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 3225177648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260268960).

3225177648 is an abundant number, since it is smaller than the sum of its proper divisors (9295360272).

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

3225177648 is an equidigital number, since it uses as much as digits as its factorization.

3225177648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3225177648 is about 56790.6475398899. The cubic root of 3225177648 is about 1477.4673094367.

The spelling of 3225177648 in words is "three billion, two hundred twenty-five million, one hundred seventy-seven thousand, six hundred forty-eight".