3201956352 has 480 divisors, whose sum is σ = 11475604800. Its totient is φ = 877879296.

The previous prime is 3201956299. The next prime is 3201956353. The reversal of 3201956352 is 2536591023.

3201956352 is a `hidden beast` number, since 3 + 2 + 0 + 19 + 5 + 635 + 2 = 666.

It is a super-2 number, since 2×3201956352² = 20505048960226295808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3201956353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19643823 + ... + 19643985.

It is an arithmetic number, because the mean of its divisors is an integer number (23907510).

Almost surely, 2^3201956352 is an apocalyptic number.

3201956352 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 3201956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737802400).

3201956352 is an abundant number, since it is smaller than the sum of its proper divisors (8273648448).

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

3201956352 is a wasteful number, since it uses less digits than its factorization.

3201956352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3201956352 is about 56585.8317249115. The cubic root of 3201956352 is about 1473.9128408789.

The spelling of 3201956352 in words is "three billion, two hundred one million, nine hundred fifty-six thousand, three hundred fifty-two".