3229638019920 has 280 divisors, whose sum is σ = 12124231640136. Its totient is φ = 794987633664.

The previous prime is 3229638019919. The next prime is 3229638019931. The reversal of 3229638019920 is 299108369223.

3229638019920 is a `hidden beast` number, since 3 + 229 + 6 + 380 + 19 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169671495744 + 3059966524176 = 411912^2 + 1749276^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1371759 + ... + 2888078.

Almost surely, 2^{3229638019920} is an apocalyptic number.

3229638019920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3229638019920 is an abundant number, since it is smaller than the sum of its proper divisors (8894593620216).

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

3229638019920 is a wasteful number, since it uses less digits than its factorization.

3229638019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259881 (or 4259860 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 3229638019920 in words is "three trillion, two hundred twenty-nine billion, six hundred thirty-eight million, nineteen thousand, nine hundred twenty".