3201952 has 48 divisors (see below), whose sum is σ = 6985440. Its totient is φ = 1435392.

The previous prime is 3201941. The next prime is 3201971. The reversal of 3201952 is 2591023.

It is a super-2 number, since 2×3201952² = 20504993220608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17799 + ... + 17977.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^3201952 is an apocalyptic number.

3201952 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 3201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720).

3201952 is an abundant number, since it is smaller than the sum of its proper divisors (3783488).

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

3201952 is a wasteful number, since it uses less digits than its factorization.

3201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3201952 is about 1789.3998994076. The cubic root of 3201952 is about 147.3912173113.

Adding to 3201952 its reverse (2591023), we get a palindrome (5792975).

The spelling of 3201952 in words is "three million, two hundred one thousand, nine hundred fifty-two".