3272780160 has 512 divisors, whose sum is σ = 13232419200. Its totient is φ = 757334016.

The previous prime is 3272780149. The next prime is 3272780183. The reversal of 3272780160 is 610872723.

3272780160 is a `hidden beast` number, since 327 + 278 + 0 + 1 + 60 = 666.

It is a super-2 number, since 2×3272780160² = 21422179951379251200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818452 + ... + 3819308.

Almost surely, 2^3272780160 is an apocalyptic number.

3272780160 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 3272780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616209600).

3272780160 is an abundant number, since it is smaller than the sum of its proper divisors (9959639040).

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

3272780160 is a wasteful number, since it uses less digits than its factorization.

3272780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3272780160 is about 57208.2175915314. The cubic root of 3272780160 is about 1484.7008069820.

The spelling of 3272780160 in words is "three billion, two hundred seventy-two million, seven hundred eighty thousand, one hundred sixty".