3229386552 has 144 divisors (see below), whose sum is σ = 10195567200. Its totient is φ = 920747520.

The previous prime is 3229386541. The next prime is 3229386593. The reversal of 3229386552 is 2556839223.

3229386552 is a `hidden beast` number, since 3 + 2 + 2 + 93 + 8 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3229386498 and 3229386507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3107649 + ... + 3108687.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^3229386552 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 3229386552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097783600).

3229386552 is an abundant number, since it is smaller than the sum of its proper divisors (6966180648).

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

3229386552 is a wasteful number, since it uses less digits than its factorization.

3229386552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3229386552 is about 56827.6917708260. The cubic root of 3229386552 is about 1478.1097355417.

The spelling of 3229386552 in words is "three billion, two hundred twenty-nine million, three hundred eighty-six thousand, five hundred fifty-two".