3272271840 has 288 divisors, whose sum is σ = 11661511680. Its totient is φ = 834527232.

The previous prime is 3272271839. The next prime is 3272271881. The reversal of 3272271840 is 481722723.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3272271795 and 3272271804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5303212 + ... + 5303828.

It is an arithmetic number, because the mean of its divisors is an integer number (40491360).

Almost surely, 2^3272271840 is an apocalyptic number.

3272271840 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 3272271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830755840).

3272271840 is an abundant number, since it is smaller than the sum of its proper divisors (8389239840).

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

3272271840 is a wasteful number, since it uses less digits than its factorization.

3272271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3272271840 is about 57203.7747006262. The cubic root of 3272271840 is about 1484.6239363345.

The spelling of 3272271840 in words is "three billion, two hundred seventy-two million, two hundred seventy-one thousand, eight hundred forty".