3272603040 has 384 divisors, whose sum is σ = 13516554240. Its totient is φ = 723686400.

The previous prime is 3272603039. The next prime is 3272603051. The reversal of 3272603040 is 403062723.

3272603040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3272602995 and 3272603013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935695 + ... + 939185.

It is an arithmetic number, because the mean of its divisors is an integer number (35199360).

Almost surely, 2^3272603040 is an apocalyptic number.

3272603040 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 3272603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758277120).

3272603040 is an abundant number, since it is smaller than the sum of its proper divisors (10243951200).

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

3272603040 is a wasteful number, since it uses less digits than its factorization.

3272603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3272603040 is about 57206.6695412344. The cubic root of 3272603040 is about 1484.6740229291.

Adding to 3272603040 its reverse (403062723), we get a palindrome (3675665763).

The spelling of 3272603040 in words is "three billion, two hundred seventy-two million, six hundred three thousand, forty".