3444572160 has 252 divisors, whose sum is σ = 12104755572. Its totient is φ = 905969664.

The previous prime is 3444572123. The next prime is 3444572191. The reversal of 3444572160 is 612754443.

3444572160 is a `hidden beast` number, since 3 + 44 + 457 + 2 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1594884096 + 1849688064 = 39936^2 + 43008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47185884 + ... + 47185956.

Almost surely, 2^3444572160 is an apocalyptic number.

3444572160 is a gapful number since it is divisible by the number (30) 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 3444572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052377786).

3444572160 is an abundant number, since it is smaller than the sum of its proper divisors (8660183412).

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

3444572160 is an frugal number, since it uses more digits than its factorization.

3444572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3444572160 is about 58690.4775921955. The cubic root of 3444572160 is about 1510.2369641124.

The spelling of 3444572160 in words is "three billion, four hundred forty-four million, five hundred seventy-two thousand, one hundred sixty".