3223887840 has 72 divisors (see below), whose sum is σ = 11001522168. Its totient is φ = 859703040.

The previous prime is 3223887827. The next prime is 3223887847. The reversal of 3223887840 is 487883223.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223887847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117966 + ... + 1120845.

It is an arithmetic number, because the mean of its divisors is an integer number (152798919).

Almost surely, 2^3223887840 is an apocalyptic number.

3223887840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3223887840 is an abundant number, since it is smaller than the sum of its proper divisors (7777634328).

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

3223887840 is a wasteful number, since it uses less digits than its factorization.

3223887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238832 (or 2238821 counting only the distinct ones).

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

The square root of 3223887840 is about 56779.2905908484. The cubic root of 3223887840 is about 1477.2703277038.

It can be divided in two parts, 32 and 23887840, that added together give a cube (23887872 = 288³).

The spelling of 3223887840 in words is "three billion, two hundred twenty-three million, eight hundred eighty-seven thousand, eight hundred forty".