3232887840 has 288 divisors, whose sum is σ = 13578679296. Its totient is φ = 682076160.

The previous prime is 3232887811. The next prime is 3232887857. The reversal of 3232887840 is 487882323.

3232887840 is a `hidden beast` number, since 323 + 288 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118705 + ... + 143375.

It is an arithmetic number, because the mean of its divisors is an integer number (47148192).

Almost surely, 2^3232887840 is an apocalyptic number.

3232887840 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 3232887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789339648).

3232887840 is an abundant number, since it is smaller than the sum of its proper divisors (10345791456).

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

3232887840 is a wasteful number, since it uses less digits than its factorization.

3232887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3232887840 is about 56858.4896035764. The cubic root of 3232887840 is about 1478.6437294938.

The spelling of 3232887840 in words is "three billion, two hundred thirty-two million, eight hundred eighty-seven thousand, eight hundred forty".