3253782672 has 180 divisors, whose sum is σ = 10679126016. Its totient is φ = 922078080.

The previous prime is 3253782671. The next prime is 3253782689. The reversal of 3253782672 is 2762873523.

3253782672 is a `hidden beast` number, since 32 + 537 + 82 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3253782671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894297 + ... + 897927.

Almost surely, 2^3253782672 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 3253782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339563008).

3253782672 is an abundant number, since it is smaller than the sum of its proper divisors (7425343344).

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

3253782672 is a wasteful number, since it uses less digits than its factorization.

3253782672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3770 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 3253782672 is about 57041.9378352454. The cubic root of 3253782672 is about 1481.8224858000.

The spelling of 3253782672 in words is "three billion, two hundred fifty-three million, seven hundred eighty-two thousand, six hundred seventy-two".