3287455632 has 120 divisors (see below), whose sum is σ = 9676255680. Its totient is φ = 1080293760.

The previous prime is 3287455627. The next prime is 3287455637. The reversal of 3287455632 is 2365547823.

3287455632 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 4 + 5 + 5 + 632 = 666.

3287455632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3287455627) and next prime (3287455637).

It is not an unprimeable number, because it can be changed into a prime (3287455637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270094 + ... + 282002.

It is an arithmetic number, because the mean of its divisors is an integer number (80635464).

Almost surely, 2^3287455632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287455632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838127840).

3287455632 is an abundant number, since it is smaller than the sum of its proper divisors (6388800048).

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

3287455632 is a wasteful number, since it uses less digits than its factorization.

3287455632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11985 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3287455632 is about 57336.3377972469. The cubic root of 3287455632 is about 1486.9166802766.

The spelling of 3287455632 in words is "three billion, two hundred eighty-seven million, four hundred fifty-five thousand, six hundred thirty-two".