3223252032 has 448 divisors, whose sum is σ = 11841650688. Its totient is φ = 746496000.

The previous prime is 3223251973. The next prime is 3223252051. The reversal of 3223252032 is 2302523223.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3223251993 and 3223252011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957682 + ... + 5958222.

It is an arithmetic number, because the mean of its divisors is an integer number (26432256).

Almost surely, 2^3223252032 is an apocalyptic number.

3223252032 is a gapful number since it is divisible by the number (32) 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 3223252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920825344).

3223252032 is an abundant number, since it is smaller than the sum of its proper divisors (8618398656).

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

3223252032 is a wasteful number, since it uses less digits than its factorization.

3223252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3223252032 is about 56773.6913719726. The cubic root of 3223252032 is about 1477.1732066611.

Adding to 3223252032 its reverse (2302523223), we get a palindrome (5525775255).

It can be divided in two parts, 3223 and 252032, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 3223252032 in words is "three billion, two hundred twenty-three million, two hundred fifty-two thousand, thirty-two".