3219631632 has 480 divisors, whose sum is σ = 11908166400. Its totient is φ = 826011648.

The previous prime is 3219631531. The next prime is 3219631661. The reversal of 3219631632 is 2361369123.

It is a happy number.

3219631632 is a `hidden beast` number, since 3 + 2 + 19 + 6 + 3 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8276494 + ... + 8276882.

It is an arithmetic number, because the mean of its divisors is an integer number (24808680).

Almost surely, 2^3219631632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3219631632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954083200).

3219631632 is an abundant number, since it is smaller than the sum of its proper divisors (8688534768).

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

3219631632 is a wasteful number, since it uses less digits than its factorization.

3219631632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3219631632 is about 56741.7979271013. The cubic root of 3219631632 is about 1476.6199391976.

The spelling of 3219631632 in words is "three billion, two hundred nineteen million, six hundred thirty-one thousand, six hundred thirty-two".