3445327872 has 576 divisors, whose sum is σ = 12592419840. Its totient is φ = 919683072.

The previous prime is 3445327871. The next prime is 3445327883. The reversal of 3445327872 is 2787235443.

3445327872 is a `hidden beast` number, since 3 + 44 + 532 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (3445327871) 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, 80123883 + ... + 80123925.

It is an arithmetic number, because the mean of its divisors is an integer number (21861840).

Almost surely, 2^3445327872 is an apocalyptic number.

3445327872 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 3445327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296209920).

3445327872 is an abundant number, since it is smaller than the sum of its proper divisors (9147091968).

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

3445327872 is an equidigital number, since it uses as much as digits as its factorization.

3445327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 3445327872 is about 58696.9153533642. The cubic root of 3445327872 is about 1510.3474007346.

The spelling of 3445327872 in words is "three billion, four hundred forty-five million, three hundred twenty-seven thousand, eight hundred seventy-two".