3229952 has 72 divisors (see below), whose sum is σ = 7456512. Its totient is φ = 1382400.

The previous prime is 3229951. The next prime is 3229957. The reversal of 3229952 is 2599223.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (9720) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (3229951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87278 + ... + 87314.

Almost surely, 2^3229952 is an apocalyptic number.

3229952 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 3229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728256).

3229952 is an abundant number, since it is smaller than the sum of its proper divisors (4226560).

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

3229952 is a wasteful number, since it uses less digits than its factorization.

3229952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 3229952 is about 1797.2067215543. The cubic root of 3229952 is about 147.8196000162.

The spelling of 3229952 in words is "three million, two hundred twenty-nine thousand, nine hundred fifty-two".