3232495440 has 480 divisors, whose sum is σ = 12033515520. Its totient is φ = 774918144.

The previous prime is 3232495429. The next prime is 3232495499. The reversal of 3232495440 is 445942323.

3232495440 is a `hidden beast` number, since 323 + 249 + 54 + 40 = 666.

3232495440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3232495395 and 3232495404.

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, 25452657 + ... + 25452783.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 2^3232495440 is an apocalyptic number.

3232495440 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 3232495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

3232495440 is an abundant number, since it is smaller than the sum of its proper divisors (8801020080).

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

3232495440 is a wasteful number, since it uses less digits than its factorization.

3232495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3232495440 is about 56855.0388268269. The cubic root of 3232495440 is about 1478.5839023562.

The spelling of 3232495440 in words is "three billion, two hundred thirty-two million, four hundred ninety-five thousand, four hundred forty".