3484444800 has 384 divisors, whose sum is σ = 12287784960. Its totient is φ = 865751040.

The previous prime is 3484444787. The next prime is 3484444841. The reversal of 3484444800 is 84444843.

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

It is a super-3 number, since 3×3484444800³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9494217 + ... + 9494583.

It is an arithmetic number, because the mean of its divisors is an integer number (31999440).

Almost surely, 2^3484444800 is an apocalyptic number.

3484444800 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 3484444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143892480).

3484444800 is an abundant number, since it is smaller than the sum of its proper divisors (8803340160).

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

3484444800 is a wasteful number, since it uses less digits than its factorization.

3484444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The square root of 3484444800 is about 59029.1860015027. The cubic root of 3484444800 is about 1516.0418717535.

The spelling of 3484444800 in words is "three billion, four hundred eighty-four million, four hundred forty-four thousand, eight hundred".