3223199952 has 400 divisors, whose sum is σ = 11227313152. Its totient is φ = 873400320.

The previous prime is 3223199897. The next prime is 3223199963. The reversal of 3223199952 is 2599913223.

3223199952 is a `hidden beast` number, since 322 + 319 + 9 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3223199898 and 3223199907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20529858 + ... + 20530014.

Almost surely, 2^3223199952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223199952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613656576).

3223199952 is an abundant number, since it is smaller than the sum of its proper divisors (8004113200).

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

3223199952 is a wasteful number, since it uses less digits than its factorization.

3223199952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 3223199952 is about 56773.2327069720. The cubic root of 3223199952 is about 1477.1652507629.

The spelling of 3223199952 in words is "three billion, two hundred twenty-three million, one hundred ninety-nine thousand, nine hundred fifty-two".