3221907840 has 192 divisors, whose sum is σ = 11538268560. Its totient is φ = 859133952.

The previous prime is 3221907817. The next prime is 3221907853. The reversal of 3221907840 is 487091223.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 3221907795 and 3221907804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145162 + ... + 165878.

Almost surely, 2^3221907840 is an apocalyptic number.

3221907840 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 3221907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769134280).

3221907840 is an abundant number, since it is smaller than the sum of its proper divisors (8316360720).

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

3221907840 is an equidigital number, since it uses as much as digits as its factorization.

3221907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20751 (or 20727 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3221907840 is about 56761.8519782433. The cubic root of 3221907840 is about 1476.9678363839.

The spelling of 3221907840 in words is "three billion, two hundred twenty-one million, nine hundred seven thousand, eight hundred forty".