3232535040 has 800 divisors, whose sum is σ = 14117203584. Its totient is φ = 690094080.

The previous prime is 3232535029. The next prime is 3232535101. The reversal of 3232535040 is 405352323.

3232535040 is a `hidden beast` number, since 323 + 253 + 50 + 40 = 666.

It is a super-3 number, since 3×3232535040³ (a number of 30 digits) contains 333 as substring.

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 = 3232534995 and 3232535013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675775 + ... + 24675905.

Almost surely, 2^3232535040 is an apocalyptic number.

3232535040 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 3232535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058601792).

3232535040 is an abundant number, since it is smaller than the sum of its proper divisors (10884668544).

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

3232535040 is a wasteful number, since it uses less digits than its factorization.

3232535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3232535040 is about 56855.3870798537. The cubic root of 3232535040 is about 1478.5899401769.

Adding to 3232535040 its reverse (405352323), we get a palindrome (3637887363).

The spelling of 3232535040 in words is "three billion, two hundred thirty-two million, five hundred thirty-five thousand, forty".