3241285632 has 336 divisors, whose sum is σ = 10527163920. Its totient is φ = 991346688.

The previous prime is 3241285613. The next prime is 3241285657. The reversal of 3241285632 is 2365821423.

3241285632 is a `hidden beast` number, since 3 + 2 + 4 + 12 + 8 + 5 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19408813 + ... + 19408979.

It is an arithmetic number, because the mean of its divisors is an integer number (31330845).

Almost surely, 2^3241285632 is an apocalyptic number.

3241285632 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 3241285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263581960).

3241285632 is an abundant number, since it is smaller than the sum of its proper divisors (7285878288).

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

3241285632 is an equidigital number, since it uses as much as digits as its factorization.

3241285632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3241285632 is about 56932.2898889549. The cubic root of 3241285632 is about 1479.9229373072.

It can be divided in two parts, 324 and 1285632, that added together give a square (1285956 = 1134²).

The spelling of 3241285632 in words is "three billion, two hundred forty-one million, two hundred eighty-five thousand, six hundred thirty-two".