3443834880 has 360 divisors, whose sum is σ = 12451984272. Its totient is φ = 913047552.

The previous prime is 3443834861. The next prime is 3443834929. The reversal of 3443834880 is 884383443.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3443834880² = 23719997361409228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906474 + ... + 19906646.

Almost surely, 2^3443834880 is an apocalyptic number.

3443834880 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 3443834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225992136).

3443834880 is an abundant number, since it is smaller than the sum of its proper divisors (9008149392).

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

3443834880 is an frugal number, since it uses more digits than its factorization.

3443834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3443834880 is about 58684.1961689857. The cubic root of 3443834880 is about 1510.1292054988.

The spelling of 3443834880 in words is "three billion, four hundred forty-three million, eight hundred thirty-four thousand, eight hundred eighty".