3484800000 has 594 divisors, whose sum is σ = 13824361278. Its totient is φ = 844800000.

The previous prime is 3484799977. The next prime is 3484800001. The reversal of 3484800000 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1610256384 + 1874543616 = 40128^2 + 43296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484800001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 316799995 + ... + 316800005.

Almost surely, 2^3484800000 is an apocalyptic number.

3484800000 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 3484800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912180639).

3484800000 is an abundant number, since it is smaller than the sum of its proper divisors (10339561278).

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

3484800000 is an equidigital number, since it uses as much as digits as its factorization.

3484800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3484800000 is about 59032.1946059944. The cubic root of 3484800000 is about 1516.0933844819.

Adding to 3484800000 its reverse (84843), we get a palindrome (3484884843).

The spelling of 3484800000 in words is "three billion, four hundred eighty-four million, eight hundred thousand".