3281785152 has 112 divisors (see below), whose sum is σ = 9108399360. Its totient is φ = 1041610752.

The previous prime is 3281785151. The next prime is 3281785159. The reversal of 3281785152 is 2515871823.

It is a super-2 number, since 2×3281785152² = 21540227567775326208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281785151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328974 + ... + 338802.

Almost surely, 2^3281785152 is an apocalyptic number.

3281785152 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 3281785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554199680).

3281785152 is an abundant number, since it is smaller than the sum of its proper divisors (5826614208).

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

3281785152 is a wasteful number, since it uses less digits than its factorization.

3281785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9918 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 3281785152 is about 57286.8671861187. The cubic root of 3281785152 is about 1486.0612686050.

The spelling of 3281785152 in words is "three billion, two hundred eighty-one million, seven hundred eighty-five thousand, one hundred fifty-two".