3223463040 has 768 divisors, whose sum is σ = 13730342400. Its totient is φ = 721115136.

The previous prime is 3223463039. The next prime is 3223463057. The reversal of 3223463040 is 403643223.

It is a happy number.

3223463040 is a `hidden beast` number, since 3 + 2 + 23 + 4 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3223462995 and 3223463013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68584297 + ... + 68584343.

It is an arithmetic number, because the mean of its divisors is an integer number (17878050).

Almost surely, 2^3223463040 is an apocalyptic number.

3223463040 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 3223463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865171200).

3223463040 is an abundant number, since it is smaller than the sum of its proper divisors (10506879360).

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

3223463040 is an frugal number, since it uses more digits than its factorization.

3223463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3223463040 is about 56775.5496670882. The cubic root of 3223463040 is about 1477.2054400038.

The spelling of 3223463040 in words is "three billion, two hundred twenty-three million, four hundred sixty-three thousand, forty".