3444408360 has 448 divisors, whose sum is σ = 12361567680. Its totient is φ = 862202880.

The previous prime is 3444408343. The next prime is 3444408433. The reversal of 3444408360 is 638044443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51409047 + ... + 51409113.

It is an arithmetic number, because the mean of its divisors is an integer number (27592785).

Almost surely, 2^3444408360 is an apocalyptic number.

3444408360 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 3444408360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180783840).

3444408360 is an abundant number, since it is smaller than the sum of its proper divisors (8917159320).

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

3444408360 is a wasteful number, since it uses less digits than its factorization.

3444408360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3444408360 is about 58689.0821192494. The cubic root of 3444408360 is about 1510.2130249288.

The spelling of 3444408360 in words is "three billion, four hundred forty-four million, four hundred eight thousand, three hundred sixty".