3272970240 has 260 divisors, whose sum is σ = 11738718684. Its totient is φ = 872349696.

The previous prime is 3272970223. The next prime is 3272970299. The reversal of 3272970240 is 420792723.

3272970240 is a `hidden beast` number, since 327 + 2 + 97 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 931958784 + 2341011456 = 30528^2 + 48384^2 .

It is a super-3 number, since 3×3272970240³ (a number of 30 digits) contains 333 as substring.

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 = 3272970195 and 3272970204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1657894 + ... + 1659866.

Almost surely, 2^3272970240 is an apocalyptic number.

3272970240 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 3272970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869359342).

3272970240 is an abundant number, since it is smaller than the sum of its proper divisors (8465748444).

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

3272970240 is an equidigital number, since it uses as much as digits as its factorization.

3272970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3272970240 is about 57209.8788672026. The cubic root of 3272970240 is about 1484.7295497687.

The spelling of 3272970240 in words is "three billion, two hundred seventy-two million, nine hundred seventy thousand, two hundred forty".