3279555648 has 448 divisors, whose sum is σ = 10943539200. Its totient is φ = 958003200.

The previous prime is 3279555641. The next prime is 3279555661. The reversal of 3279555648 is 8465559723.

3279555648 is a `hidden beast` number, since 3 + 2 + 79 + 5 + 5 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3279555594 and 3279555603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3279555641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32470798 + ... + 32470898.

Almost surely, 2^3279555648 is an apocalyptic number.

3279555648 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 3279555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471769600).

3279555648 is an abundant number, since it is smaller than the sum of its proper divisors (7663983552).

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

3279555648 is a wasteful number, since it uses less digits than its factorization.

3279555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 3279555648 is about 57267.4047604743. The cubic root of 3279555648 is about 1485.7246702853.

The spelling of 3279555648 in words is "three billion, two hundred seventy-nine million, five hundred fifty-five thousand, six hundred forty-eight".