3272540544 has 768 divisors, whose sum is σ = 12831436800. Its totient is φ = 776355840.

The previous prime is 3272540519. The next prime is 3272540573. The reversal of 3272540544 is 4450452723.

3272540544 is a `hidden beast` number, since 3 + 2 + 72 + 5 + 40 + 544 = 666.

It is a super-2 number, since 2×3272540544² = 21419043224247631872, which contains 22 as substring.

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 = 3272540499 and 3272540508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61746022 + ... + 61746074.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^3272540544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3272540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3272540544 is an abundant number, since it is smaller than the sum of its proper divisors (9558896256).

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

3272540544 is a wasteful number, since it uses less digits than its factorization.

3272540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3272540544 is about 57206.1233086109. The cubic root of 3272540544 is about 1484.6645720652.

The spelling of 3272540544 in words is "three billion, two hundred seventy-two million, five hundred forty thousand, five hundred forty-four".