3272048640 has 384 divisors, whose sum is σ = 13004241120. Its totient is φ = 745537536.

The previous prime is 3272048629. The next prime is 3272048641. The reversal of 3272048640 is 468402723.

3272048640 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3272048595 and 3272048604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3272048641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321762 + ... + 10322078.

Almost surely, 2^3272048640 is an apocalyptic number.

3272048640 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 3272048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502120560).

3272048640 is an abundant number, since it is smaller than the sum of its proper divisors (9732192480).

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

3272048640 is an equidigital number, since it uses as much as digits as its factorization.

3272048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3272048640 is about 57201.8237471499. The cubic root of 3272048640 is about 1484.5901804188.

The spelling of 3272048640 in words is "three billion, two hundred seventy-two million, forty-eight thousand, six hundred forty".