3241933632 has 280 divisors, whose sum is σ = 11256020160. Its totient is φ = 903260160.

The previous prime is 3241933631. The next prime is 3241933649. The reversal of 3241933632 is 2363391423.

3241933632 is a `hidden beast` number, since 3 + 2 + 4 + 19 + 3 + 3 + 632 = 666.

3241933632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3241933632² = 21020267348585422848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241933631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1486719 + ... + 1488897.

It is an arithmetic number, because the mean of its divisors is an integer number (40200072).

Almost surely, 2^3241933632 is an apocalyptic number.

3241933632 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 3241933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628010080).

3241933632 is an abundant number, since it is smaller than the sum of its proper divisors (8014086528).

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

3241933632 is a wasteful number, since it uses less digits than its factorization.

3241933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2232 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 3241933632 is about 56937.9805753594. The cubic root of 3241933632 is about 1480.0215531315.

The spelling of 3241933632 in words is "three billion, two hundred forty-one million, nine hundred thirty-three thousand, six hundred thirty-two".