3268732032 has 384 divisors, whose sum is σ = 10641945600. Its totient is φ = 958003200.

The previous prime is 3268731971. The next prime is 3268732037. The reversal of 3268732032 is 2302378623.

It is a happy number.

3268732032 is a `hidden beast` number, since 326 + 8 + 7 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268732037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21647157 + ... + 21647307.

It is an arithmetic number, because the mean of its divisors is an integer number (27713400).

Almost surely, 2^3268732032 is an apocalyptic number.

3268732032 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 3268732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320972800).

3268732032 is an abundant number, since it is smaller than the sum of its proper divisors (7373213568).

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

3268732032 is a wasteful number, since it uses less digits than its factorization.

3268732032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3268732032 is about 57172.8259927739. The cubic root of 3268732032 is about 1484.0884083113.

The spelling of 3268732032 in words is "three billion, two hundred sixty-eight million, seven hundred thirty-two thousand, thirty-two".